Common Core HSN.VM.C.8 worksheet

Question 1

Find the determinant of the matrix [[2, 7], [−5, 1]].

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Question 2

A = [[2, 5], [2, −2]] and B = [[2, −4], [1, −1]]. What is the bottom-left entry of AB?

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Question 3

Find the determinant of the matrix [[9, −5], [4, −5]].

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Question 4

A = [[−2, 0], [4, 4]] and B = [[−2, 3], [−3, −1]]. What is the top-right entry of AB?

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Question 5

Find the determinant of the matrix [[4, 5], [5, 3]].

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Question 6

A = [[2, −1], [1, −3]] and B = [[0, −2], [0, −2]]. What is the bottom-left entry of AB?

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Question 7

Find the determinant of the matrix [[1, −4], [9, 6]].

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Question 8

A = [[4, 1], [0, 2]] and B = [[−1, 5], [−4, 0]]. What is the top-left entry of AB?

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Question 9

Find the determinant of the matrix [[1, −6], [−1, 9]].

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Question 10

A = [[−4, −2], [1, 4]] and B = [[3, −3], [−1, 3]]. What is the top-left entry of AB?

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Question 11

Find the determinant of the matrix [[2, −5], [−5, −3]].

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Question 12

A = [[−3, −2], [−3, 1]] and B = [[−1, 3], [−4, 1]]. What is the top-right entry of AB?

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Question 13

Find the determinant of the matrix [[−3, −3], [6, 5]].

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Question 14

A = [[−1, 0], [5, 3]] and B = [[5, −2], [1, 5]]. What is the top-left entry of AB?

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Question 15

Find the determinant of the matrix [[−2, −3], [1, −5]].

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Question 16

A = [[−4, 0], [−1, 2]] and B = [[−1, 1], [−4, −2]]. What is the top-left entry of AB?

Answer