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Determinant rules Quiz: printable

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Determinant rules Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/linear-algebra/determinant-rules/quiz/

  1. 1

    Det by row operations [2, 1, 5; 0, 3, 4; 0, 0, −1]

    Answer: ____________________

  2. 2

    Det A = 3, det B = −2, find det(AB)

    Answer: ____________________

  3. 3

    Det A = 6, find det(AT)

    Answer: ____________________

  4. 4

    Det A = 2, A is 2 × 2, find det(3A)

    Answer: ____________________

  5. 5

    Det by row operations [1, 2, 3; 0, 1, 4; 2, 5, 9]

    Answer: ____________________

  6. 6

    Det by row operations [1, 2; 3, 4]

    Answer: ____________________

  7. 7

    Det by row operations [2, 4, 2; 1, 3, 4; 0, 1, 5]

    Answer: ____________________

  8. 8

    Det by row operations [3, 6, 3; 1, 4, 2; 2, 6, 7]

    Answer: ____________________

  9. 9

    Det by row operations [1, 2, 3; 2, 4, 7; 3, 5, 8]

    Answer: ____________________

  10. 10

    Det A = −2, A is 3 × 3, find det(−A)

    Answer: ____________________

Answer key

  1. D = −6
  2. det(AB) = −6
  3. det(AT) = 6
  4. det(3A) = 18
  5. D = −1
  6. D = −2
  7. D = 4
  8. D = 24
  9. D = 1
  10. det(−A) = 2

Every answer solved step by step: steplyclass.com/linear-algebra/determinant-rules/quiz/answers/