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Matrices

12th grade (Year 13 in England) Β· 16 questions Β· Common Core: HSN.VM.C.8, HSN.VM.C.10, HSN.VM.C.12

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  1. Question 1

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

    Answer

  2. Question 2

    Find the determinant of the matrix [[8, βˆ’6], [1, βˆ’5]].

    Answer

  3. Question 3

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

    Answer

  4. Question 4

    Find the determinant of the matrix [[βˆ’6, βˆ’4], [3, 9]].

    Answer

  5. Question 5

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

    Answer

  6. Question 6

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

    Answer

  7. Question 7

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

    Answer

  8. Question 8

    Find the determinant of the matrix [[βˆ’6, 3], [βˆ’5, 4]].

    Answer

  9. Question 9

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

    Answer

  10. Question 10

    Find the determinant of the matrix [[βˆ’4, 9], [βˆ’4, 8]].

    Answer

  11. Question 11

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

    Answer

  12. Question 12

    Find the determinant of the matrix [[8, 6], [7, βˆ’3]].

    Answer

  13. Question 13

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

    Answer

  14. Question 14

    Find the determinant of the matrix [[0, βˆ’5], [9, 7]].

    Answer

  15. Question 15

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

    Answer

  16. Question 16

    Find the determinant of the matrix [[βˆ’1, βˆ’5], [7, βˆ’4]].

    Answer

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Answer key: Matrices

  1. 1. 21

  2. 2. -34

  3. 3. 4

  4. 4. -42

  5. 5. 0

  6. 6. -9

  7. 7. -16

  8. 8. -9

  9. 9. -35

  10. 10. 4

  11. 11. -5

  12. 12. -66

  13. 13. -6

  14. 14. 45

  15. 15. 4

  16. 16. 39