Practice sheet
Fresh questions from the whole chapter, to do on paper.
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- Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?Let A = and B = . What is the entry in row 1, column 2 of A + B?
- Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 5A?Let A = . What is the entry in row 2, column 1 of 6A?Let A = . What is the entry in row 2, column 1 of 5A?Let A = . What is the entry in row 2, column 1 of 5A?Let A = . What is the entry in row 2, column 1 of 5A?Let A = . What is the entry in row 2, column 1 of 5A?Let A = . What is the entry in row 2, column 1 of 2A?Let A = . What is the entry in row 2, column 1 of 6A?Let A = . What is the entry in row 2, column 1 of 6A?Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 4A?Let A = . What is the entry in row 2, column 1 of 2A?Let A = . What is the entry in row 2, column 1 of 4A?Let A = . What is the entry in row 2, column 1 of 6A?Let A = . What is the entry in row 2, column 1 of 4A?Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 5A?Let A = . What is the entry in row 2, column 1 of 4A?Let A = . What is the entry in row 2, column 1 of 2A?Let A = . What is the entry in row 2, column 1 of 6A?Let A = . What is the entry in row 2, column 1 of 4A?Let A = . What is the entry in row 2, column 1 of 6A?Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 2A?Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 4A?Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 4A?Let A = . What is the entry in row 2, column 1 of 5A?Let A = . What is the entry in row 2, column 1 of 5A?Let A = . What is the entry in row 2, column 1 of 2A?Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 4A?Let A = . What is the entry in row 2, column 1 of 2A?Let A = . What is the entry in row 2, column 1 of 6A?Let A = . What is the entry in row 2, column 1 of 2A?Let A = . What is the entry in row 2, column 1 of 3A?Let A = . What is the entry in row 2, column 1 of 4A?Let A = . What is the entry in row 2, column 1 of 6A?Let A = . What is the entry in row 2, column 1 of 4A?Let A = . What is the entry in row 2, column 1 of 4A?Let A = . What is the entry in row 2, column 1 of 2A?Let A = . What is the entry in row 2, column 1 of 6A?Let A = . What is the entry in row 2, column 1 of 5A?Let A = . What is the entry in row 2, column 1 of 2A?
- A shop records sales in a matrix with one row for each of its 4 stores and one column for each of 7 days. What are the dimensions of the matrix?
- 4 × 7
- 7 × 4
- 28 × 1
A shop records sales in a matrix with one row for each of its 2 stores and one column for each of 6 days. What are the dimensions of the matrix?- 2 × 6
- 6 × 2
- 12 × 1
A shop records sales in a matrix with one row for each of its 4 stores and one column for each of 6 days. What are the dimensions of the matrix?- 4 × 6
- 6 × 4
- 24 × 1
A shop records sales in a matrix with one row for each of its 3 stores and one column for each of 7 days. What are the dimensions of the matrix?- 3 × 7
- 7 × 3
- 21 × 1
A shop records sales in a matrix with one row for each of its 2 stores and one column for each of 7 days. What are the dimensions of the matrix?- 2 × 7
- 7 × 2
- 14 × 1
A shop records sales in a matrix with one row for each of its 3 stores and one column for each of 6 days. What are the dimensions of the matrix?- 3 × 6
- 6 × 3
- 18 × 1
A shop records sales in a matrix with one row for each of its 2 stores and one column for each of 8 days. What are the dimensions of the matrix?- 2 × 8
- 8 × 2
- 16 × 1
A shop records sales in a matrix with one row for each of its 5 stores and one column for each of 7 days. What are the dimensions of the matrix?- 5 × 7
- 7 × 5
- 35 × 1
A shop records sales in a matrix with one row for each of its 2 stores and one column for each of 9 days. What are the dimensions of the matrix?- 2 × 9
- 9 × 2
- 18 × 1
A shop records sales in a matrix with one row for each of its 4 stores and one column for each of 8 days. What are the dimensions of the matrix?- 4 × 8
- 8 × 4
- 32 × 1
A shop records sales in a matrix with one row for each of its 5 stores and one column for each of 8 days. What are the dimensions of the matrix?- 5 × 8
- 8 × 5
- 40 × 1
A shop records sales in a matrix with one row for each of its 3 stores and one column for each of 8 days. What are the dimensions of the matrix?- 3 × 8
- 8 × 3
- 24 × 1
A shop records sales in a matrix with one row for each of its 5 stores and one column for each of 9 days. What are the dimensions of the matrix?- 5 × 9
- 9 × 5
- 45 × 1
A shop records sales in a matrix with one row for each of its 4 stores and one column for each of 9 days. What are the dimensions of the matrix?- 4 × 9
- 9 × 4
- 36 × 1
A shop records sales in a matrix with one row for each of its 3 stores and one column for each of 9 days. What are the dimensions of the matrix?- 3 × 9
- 9 × 3
- 27 × 1
A shop records sales in a matrix with one row for each of its 5 stores and one column for each of 6 days. What are the dimensions of the matrix?- 5 × 6
- 6 × 5
- 30 × 1
- Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?Let A = and B = . What is the entry in row 1, column 1 of AB?
- Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?Let A = and B = . What is the entry in row 2, column 1 of AB?
- A is a 2 × 5 matrix and B is a 5 × 8 matrix. What are the dimensions of AB?
- 2 × 8
- 5 × 5
- AB is not defined
A is a 4 × 5 matrix and B is a 5 × 8 matrix. What are the dimensions of AB?- 4 × 8
- 5 × 5
- AB is not defined
A is a 4 × 6 matrix and B is a 6 × 7 matrix. What are the dimensions of AB?- 4 × 7
- 6 × 6
- AB is not defined
A is a 3 × 5 matrix and B is a 5 × 9 matrix. What are the dimensions of AB?- 3 × 9
- 5 × 5
- AB is not defined
A is a 2 × 6 matrix and B is a 6 × 9 matrix. What are the dimensions of AB?- 2 × 9
- 6 × 6
- AB is not defined
A is a 3 × 6 matrix and B is a 6 × 8 matrix. What are the dimensions of AB?- 3 × 8
- 6 × 6
- AB is not defined
A is a 3 × 5 matrix and B is a 5 × 8 matrix. What are the dimensions of AB?- 3 × 8
- 5 × 5
- AB is not defined
A is a 3 × 5 matrix and B is a 5 × 7 matrix. What are the dimensions of AB?- 3 × 7
- 5 × 5
- AB is not defined
A is a 3 × 6 matrix and B is a 6 × 7 matrix. What are the dimensions of AB?- 3 × 7
- 6 × 6
- AB is not defined
A is a 2 × 6 matrix and B is a 6 × 8 matrix. What are the dimensions of AB?- 2 × 8
- 6 × 6
- AB is not defined
A is a 4 × 5 matrix and B is a 5 × 7 matrix. What are the dimensions of AB?- 4 × 7
- 5 × 5
- AB is not defined
A is a 4 × 6 matrix and B is a 6 × 8 matrix. What are the dimensions of AB?- 4 × 8
- 6 × 6
- AB is not defined
A is a 2 × 6 matrix and B is a 6 × 7 matrix. What are the dimensions of AB?- 2 × 7
- 6 × 6
- AB is not defined
A is a 2 × 5 matrix and B is a 5 × 7 matrix. What are the dimensions of AB?- 2 × 7
- 5 × 5
- AB is not defined
A is a 4 × 5 matrix and B is a 5 × 9 matrix. What are the dimensions of AB?- 4 × 9
- 5 × 5
- AB is not defined
A is a 4 × 6 matrix and B is a 6 × 9 matrix. What are the dimensions of AB?- 4 × 9
- 6 × 6
- AB is not defined
A is a 3 × 6 matrix and B is a 6 × 9 matrix. What are the dimensions of AB?- 3 × 9
- 6 × 6
- AB is not defined
A is a 2 × 5 matrix and B is a 5 × 9 matrix. What are the dimensions of AB?- 2 × 9
- 5 × 5
- AB is not defined
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- Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?Let A = . What is the entry in row 1, column 1 of the inverse of A?
- For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?For which value of k does have no inverse?
- Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?Let A = . What is the first component of A?
- The matrix maps the point (8, 0) to (0, 8) and (0, 8) to (−8, 0). Which transformation does it represent?
- A rotation of 90° counterclockwise about the origin
- A reflection in the line y = x
- A rotation of 90° clockwise about the origin
The matrix maps the point (4, 0) to (0, 4) and (0, 4) to (−4, 0). Which transformation does it represent?- A rotation of 90° counterclockwise about the origin
- A reflection in the line y = x
- A rotation of 90° clockwise about the origin
The matrix maps the point (7, 0) to (0, 7) and (0, 7) to (−7, 0). Which transformation does it represent?- A rotation of 90° counterclockwise about the origin
- A reflection in the line y = x
- A rotation of 90° clockwise about the origin
The matrix maps the point (6, 0) to (0, 6) and (0, 6) to (−6, 0). Which transformation does it represent?- A rotation of 90° counterclockwise about the origin
- A reflection in the line y = x
- A rotation of 90° clockwise about the origin
The matrix maps the point (3, 0) to (0, 3) and (0, 3) to (−3, 0). Which transformation does it represent?- A rotation of 90° counterclockwise about the origin
- A reflection in the line y = x
- A rotation of 90° clockwise about the origin
The matrix maps the point (1, 0) to (0, 1) and (0, 1) to (−1, 0). Which transformation does it represent?- A rotation of 90° counterclockwise about the origin
- A reflection in the line y = x
- A rotation of 90° clockwise about the origin
The matrix maps the point (9, 0) to (0, 9) and (0, 9) to (−9, 0). Which transformation does it represent?- A rotation of 90° counterclockwise about the origin
- A reflection in the line y = x
- A rotation of 90° clockwise about the origin
The matrix maps the point (5, 0) to (0, 5) and (0, 5) to (−5, 0). Which transformation does it represent?- A rotation of 90° counterclockwise about the origin
- A reflection in the line y = x
- A rotation of 90° clockwise about the origin
The matrix maps the point (2, 0) to (0, 2) and (0, 2) to (−2, 0). Which transformation does it represent?- A rotation of 90° counterclockwise about the origin
- A reflection in the line y = x
- A rotation of 90° clockwise about the origin
- A shape with an area of 2 square units is transformed by the matrix . What is the area of the image?A shape with an area of 8 square units is transformed by the matrix . What is the area of the image?A shape with an area of 5 square units is transformed by the matrix . What is the area of the image?A shape with an area of 8 square units is transformed by the matrix . What is the area of the image?A shape with an area of 7 square units is transformed by the matrix . What is the area of the image?A shape with an area of 5 square units is transformed by the matrix . What is the area of the image?A shape with an area of 6 square units is transformed by the matrix . What is the area of the image?A shape with an area of 7 square units is transformed by the matrix . What is the area of the image?A shape with an area of 5 square units is transformed by the matrix . What is the area of the image?A shape with an area of 7 square units is transformed by the matrix . What is the area of the image?A shape with an area of 5 square units is transformed by the matrix . What is the area of the image?A shape with an area of 9 square units is transformed by the matrix . What is the area of the image?A shape with an area of 3 square units is transformed by the matrix . What is the area of the image?A shape with an area of 6 square units is transformed by the matrix . What is the area of the image?A shape with an area of 8 square units is transformed by the matrix . What is the area of the image?A shape with an area of 2 square units is transformed by the matrix . What is the area of the image?A shape with an area of 9 square units is transformed by the matrix . What is the area of the image?A shape with an area of 2 square units is transformed by the matrix . What is the area of the image?A shape with an area of 2 square units is transformed by the matrix . What is the area of the image?A shape with an area of 4 square units is transformed by the matrix . What is the area of the image?A shape with an area of 3 square units is transformed by the matrix . What is the area of the image?A shape with an area of 5 square units is transformed by the matrix . What is the area of the image?A shape with an area of 9 square units is transformed by the matrix . What is the area of the image?A shape with an area of 8 square units is transformed by the matrix . What is the area of the image?A shape with an area of 4 square units is transformed by the matrix . What is the area of the image?A shape with an area of 3 square units is transformed by the matrix . What is the area of the image?A shape with an area of 9 square units is transformed by the matrix . What is the area of the image?A shape with an area of 9 square units is transformed by the matrix . What is the area of the image?A shape with an area of 7 square units is transformed by the matrix . What is the area of the image?A shape with an area of 9 square units is transformed by the matrix . What is the area of the image?A shape with an area of 9 square units is transformed by the matrix . What is the area of the image?A shape with an area of 8 square units is transformed by the matrix . What is the area of the image?A shape with an area of 5 square units is transformed by the matrix . What is the area of the image?A shape with an area of 6 square units is transformed by the matrix . What is the area of the image?A shape with an area of 9 square units is transformed by the matrix . What is the area of the image?A shape with an area of 8 square units is transformed by the matrix . What is the area of the image?A shape with an area of 6 square units is transformed by the matrix . What is the area of the image?A shape with an area of 6 square units is transformed by the matrix . What is the area of the image?A shape with an area of 7 square units is transformed by the matrix . What is the area of the image?A shape with an area of 8 square units is transformed by the matrix . What is the area of the image?A shape with an area of 3 square units is transformed by the matrix . What is the area of the image?A shape with an area of 5 square units is transformed by the matrix . What is the area of the image?A shape with an area of 9 square units is transformed by the matrix . What is the area of the image?A shape with an area of 7 square units is transformed by the matrix . What is the area of the image?A shape with an area of 6 square units is transformed by the matrix . What is the area of the image?A shape with an area of 3 square units is transformed by the matrix . What is the area of the image?A shape with an area of 3 square units is transformed by the matrix . What is the area of the image?A shape with an area of 4 square units is transformed by the matrix . What is the area of the image?A shape with an area of 3 square units is transformed by the matrix . What is the area of the image?A shape with an area of 7 square units is transformed by the matrix . What is the area of the image?
- Which matrix equation represents the system 4x + 5y = 18 and 4x + 2y = 35?
- =
- =
- =
Which matrix equation represents the system 9x + 9y = 13 and 2x + 4y = 10?- =
- =
- =
Which matrix equation represents the system 6x + 2y = 32 and 6x + 4y = 39?- =
- =
- =
Which matrix equation represents the system 3x + 6y = 40 and 5x + 4y = 29?- =
- =
- =
Which matrix equation represents the system 4x + 9y = 16 and 6x + 7y = 25?- =
- =
- =
Which matrix equation represents the system 5x + 6y = 12 and 5x + 5y = 23?- =
- =
- =
Which matrix equation represents the system 7x + 6y = 19 and 9x + 6y = 27?- =
- =
- =
Which matrix equation represents the system 7x + 2y = 12 and 6x + 4y = 27?- =
- =
- =
Which matrix equation represents the system 8x + 3y = 12 and 5x + 7y = 11?- =
- =
- =
Which matrix equation represents the system 2x + 2y = 11 and 9x + 9y = 11?- =
- =
- =
Which matrix equation represents the system 9x + 7y = 35 and 3x + 8y = 32?- =
- =
- =
Which matrix equation represents the system 2x + 5y = 26 and 6x + 2y = 30?- =
- =
- =
Which matrix equation represents the system 4x + 2y = 32 and 3x + 9y = 18?- =
- =
- =
Which matrix equation represents the system 5x + 2y = 30 and 4x + 3y = 22?- =
- =
- =
Which matrix equation represents the system 8x + 7y = 18 and 4x + 4y = 11?- =
- =
- =
Which matrix equation represents the system 8x + 7y = 33 and 3x + 8y = 14?- =
- =
- =
Which matrix equation represents the system 7x + 9y = 36 and 5x + 8y = 26?- =
- =
- =
Which matrix equation represents the system 6x + 9y = 16 and 6x + 9y = 32?- =
- =
- =
Which matrix equation represents the system 7x + 8y = 15 and 4x + 6y = 32?- =
- =
- =
Which matrix equation represents the system 3x + 2y = 26 and 8x + 4y = 20?- =
- =
- =
Which matrix equation represents the system 4x + 3y = 28 and 6x + 9y = 29?- =
- =
- =
Which matrix equation represents the system 7x + 8y = 19 and 9x + 5y = 33?- =
- =
- =
Which matrix equation represents the system 7x + 2y = 18 and 6x + 2y = 37?- =
- =
- =
Which matrix equation represents the system 6x + 4y = 34 and 4x + 7y = 19?- =
- =
- =
Which matrix equation represents the system 7x + 5y = 13 and 9x + 6y = 28?- =
- =
- =
Which matrix equation represents the system 8x + 5y = 13 and 7x + 7y = 20?- =
- =
- =
Which matrix equation represents the system 9x + 8y = 16 and 4x + 2y = 27?- =
- =
- =
Which matrix equation represents the system 3x + 9y = 17 and 3x + 4y = 34?- =
- =
- =
Which matrix equation represents the system 2x + 6y = 21 and 9x + 8y = 12?- =
- =
- =
Which matrix equation represents the system 4x + 7y = 28 and 9x + 4y = 25?- =
- =
- =
Which matrix equation represents the system 8x + 4y = 40 and 5x + 3y = 15?- =
- =
- =
Which matrix equation represents the system 7x + 9y = 12 and 3x + 3y = 39?- =
- =
- =
Which matrix equation represents the system 9x + 4y = 14 and 4x + 6y = 36?- =
- =
- =
Which matrix equation represents the system 6x + 3y = 38 and 6x + 2y = 18?- =
- =
- =
Which matrix equation represents the system 2x + 5y = 25 and 7x + 8y = 37?- =
- =
- =
Which matrix equation represents the system 7x + 3y = 26 and 2x + 3y = 37?- =
- =
- =
Which matrix equation represents the system 8x + 5y = 19 and 4x + 3y = 36?- =
- =
- =
Which matrix equation represents the system 8x + 2y = 30 and 7x + 2y = 32?- =
- =
- =
Which matrix equation represents the system 7x + 5y = 27 and 2x + 7y = 27?- =
- =
- =
Which matrix equation represents the system 5x + 9y = 35 and 6x + 4y = 37?- =
- =
- =
Which matrix equation represents the system 4x + 4y = 14 and 4x + 6y = 36?- =
- =
- =
Which matrix equation represents the system 9x + 8y = 40 and 9x + 6y = 16?- =
- =
- =
Which matrix equation represents the system 8x + 3y = 32 and 2x + 3y = 32?- =
- =
- =
Which matrix equation represents the system 2x + 4y = 32 and 4x + 2y = 29?- =
- =
- =
Which matrix equation represents the system 4x + 7y = 24 and 8x + 8y = 36?- =
- =
- =
Which matrix equation represents the system 7x + 7y = 34 and 8x + 7y = 12?- =
- =
- =
Which matrix equation represents the system 7x + 3y = 30 and 5x + 3y = 26?- =
- =
- =
Which matrix equation represents the system 5x + 8y = 38 and 8x + 8y = 15?- =
- =
- =
Which matrix equation represents the system 5x + 7y = 23 and 5x + 3y = 36?- =
- =
- =
Which matrix equation represents the system 4x + 7y = 20 and 5x + 4y = 15?- =
- =
- =
- Solve the system 4x + 4y = 0 and 3x + 1y = 10 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 4x + 1y = 20 and 1x + 1y = 5 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 5x + 1y = -27 and 3x + 2y = -19 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 4y = 32 and 2x + 3y = 27 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 4x + 4y = 24 and 1x + 3y = 6 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 5x + 5y = 10 and 4x + 2y = 2 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 3x + 2y = -22 and 1x + 1y = -9 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 1x + 2y = 5 and 2x + 3y = 7 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 3x + 1y = -15 and 1x + 4y = -5 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 1x + 4y = -17 and 1x + 1y = -8 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 5x + 1y = 26 and 4x + 5y = 46 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 2y = 18 and 3x + 2y = 24 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 5x + 4y = -33 and 1x + 4y = -13 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 3y = -23 and 5x + 3y = -35 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 5x + 2y = 0 and 5x + 5y = -15 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 3y = 2 and 3x + 2y = 3 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 1x + 3y = -8 and 1x + 4y = -9 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 1x + 5y = 18 and 4x + 5y = 12 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 5x + 4y = -13 and 3x + 2y = -7 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 3y = -7 and 3x + 3y = -6 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 5y = 22 and 3x + 5y = 18 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 1x + 4y = 11 and 3x + 1y = -11 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 4x + 2y = 4 and 2x + 2y = 6 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 1y = 4 and 2x + 4y = 4 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 2y = 10 and 4x + 2y = 14 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 4y = 0 and 5x + 1y = 27 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 1x + 3y = -10 and 1x + 5y = -14 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 1x + 4y = -6 and 5x + 5y = 15 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 4x + 1y = 22 and 1x + 5y = -4 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 3x + 3y = 9 and 1x + 2y = 5 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 5y = -16 and 4x + 3y = -4 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 2y = -8 and 1x + 4y = -1 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 5x + 2y = 13 and 2x + 4y = 2 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 5x + 4y = 20 and 1x + 5y = 4 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 5y = 6 and 1x + 3y = 4 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 3x + 4y = -13 and 1x + 3y = -6 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 1x + 3y = -11 and 5x + 5y = -35 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 4y = 20 and 5x + 5y = 35 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 5x + 3y = 3 and 3x + 2y = 3 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 3x + 4y = -17 and 4x + 4y = -16 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 5y = 37 and 3x + 5y = 43 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 5x + 3y = -35 and 5x + 1y = -25 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 4y = -10 and 2x + 5y = -15 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 4x + 5y = 30 and 5x + 3y = 31 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 1y = -4 and 1x + 4y = 5 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 3x + 3y = -15 and 2x + 5y = -16 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 4x + 1y = -18 and 5x + 4y = -28 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 5x + 3y = 9 and 2x + 2y = 2 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 1x + 1y = -1 and 1x + 3y = -11 by multiplying by the inverse of the coefficient matrix. What is x?Solve the system 2x + 5y = -17 and 3x + 4y = -15 by multiplying by the inverse of the coefficient matrix. What is x?
Answers
- 4 × 72 × 64 × 63 × 72 × 73 × 62 × 85 × 72 × 94 × 85 × 83 × 85 × 94 × 93 × 95 × 6
- 2 × 84 × 84 × 73 × 92 × 93 × 83 × 83 × 73 × 72 × 84 × 74 × 82 × 72 × 74 × 94 × 93 × 92 × 9
- A rotation of 90° counterclockwise about the originA rotation of 90° counterclockwise about the originA rotation of 90° counterclockwise about the originA rotation of 90° counterclockwise about the originA rotation of 90° counterclockwise about the originA rotation of 90° counterclockwise about the originA rotation of 90° counterclockwise about the originA rotation of 90° counterclockwise about the originA rotation of 90° counterclockwise about the origin
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