Common Core HSN.VM.C.12 worksheet

Question 1

Find the determinant of the matrix [[−1, −5], [3, 4]].

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Question 2

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

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Question 3

Find the determinant of the matrix [[9, 4], [5, −1]].

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Question 4

A = [[5, 0], [−4, 1]] and B = [[1, 3], [5, 5]]. What is the bottom-left entry of AB?

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Question 5

Find the determinant of the matrix [[−1, 7], [−6, −3]].

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Question 6

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

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Question 7

Find the determinant of the matrix [[0, −2], [−6, 6]].

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Question 8

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

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Question 9

Find the determinant of the matrix [[−3, 6], [3, 9]].

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Question 10

A = [[3, 4], [−2, −1]] and B = [[4, −2], [5, 5]]. What is the top-right entry of AB?

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Question 11

Find the determinant of the matrix [[−1, 7], [−1, −6]].

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Question 12

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

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Question 13

Find the determinant of the matrix [[4, 1], [2, −6]].

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Question 14

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

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Question 15

Find the determinant of the matrix [[3, −5], [7, 4]].

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Question 16

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

Answer