Common Core HSN.VM.C.10 worksheet

Question 1

Find the determinant of the matrix [[1, 0], [−1, 8]].

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Question 2

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

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Question 3

Find the determinant of the matrix [[−3, −2], [0, 8]].

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Question 4

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

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Question 5

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

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Question 6

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

Answer 

Question 7

Find the determinant of the matrix [[1, −5], [−2, 4]].

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Question 8

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

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Question 9

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

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Question 10

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

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Question 11

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

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Question 12

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

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Question 13

Find the determinant of the matrix [[2, 7], [9, 8]].

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Question 14

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

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Question 15

Find the determinant of the matrix [[8, 2], [3, −6]].

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Question 16

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

Answer