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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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Date

Score/ 16

  1. Question 1

    Find the determinant of the matrix [[1, 0], [0, βˆ’2]].

    Answer

  2. Question 2

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

    Answer

  3. Question 3

    Find the determinant of the matrix [[3, βˆ’3], [0, 5]].

    Answer

  4. Question 4

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

    Answer

  5. Question 5

    Find the determinant of the matrix [[βˆ’3, 3], [βˆ’2, 2]].

    Answer

  6. Question 6

    A = [[5, βˆ’2], [βˆ’4, 2]] and B = [[3, 0], [βˆ’3, βˆ’1]]. What is the top-left entry of AB?

    Answer

  7. Question 7

    Find the determinant of the matrix [[βˆ’3, 8], [4, 9]].

    Answer

  8. Question 8

    A = [[5, 3], [4, 2]] and B = [[0, βˆ’1], [2, 5]]. What is the top-right entry of AB?

    Answer

  9. Question 9

    Find the determinant of the matrix [[7, 3], [8, βˆ’5]].

    Answer

  10. Question 10

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

    Answer

  11. Question 11

    Find the determinant of the matrix [[3, βˆ’3], [3, βˆ’2]].

    Answer

  12. Question 12

    A = [[βˆ’3, 0], [βˆ’3, βˆ’4]] and B = [[3, βˆ’1], [βˆ’2, 5]]. What is the bottom-right entry of AB?

    Answer

  13. Question 13

    Find the determinant of the matrix [[βˆ’1, 5], [2, 6]].

    Answer

  14. Question 14

    A = [[3, βˆ’4], [0, 3]] and B = [[4, 2], [5, βˆ’1]]. What is the top-left entry of AB?

    Answer

  15. Question 15

    Find the determinant of the matrix [[1, 9], [0, 3]].

    Answer

  16. Question 16

    A = [[5, 3], [2, βˆ’4]] and B = [[0, βˆ’3], [βˆ’1, 2]]. What is the top-left entry of AB?

    Answer

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  1. -2
  2. -10
  3. 15
  4. 31
  5. 0
  6. 21
  7. -59
  8. 10
  9. -59
  10. -7
  11. 3
  12. -17
  13. -16
  14. -8
  15. 3
  16. -3