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Linear combinations Quiz: printable

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Linear combinations Quiz

Name: ______________________   Date: __________   Score: ____ / 10

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

  1. 1

    Calculate (3, 1) + (2, 5)

    Answer: ____________________

  2. 2

    Calculate 2(3, โˆ’1)

    Answer: ____________________

  3. 3

    Calculate 3(1, 2, 0)

    Answer: ____________________

  4. 4

    Calculate โˆ’2(3, 1)

    Answer: ____________________

  5. 5

    Calculate 3(2, โˆ’1) + 2(1, 4)

    Answer: ____________________

  6. 6

    Calculate (1, 2, 3, 4) + (0, โˆ’1, 2, 5)

    Answer: ____________________

  7. 7

    Calculate โˆ’2(1, 3) + (5, 2)

    Answer: ____________________

  8. 8

    Calculate 2u + v for u = (3, โˆ’2), v = (โˆ’1, 5)

    Answer: ____________________

  9. 9

    Calculate u + 2v โˆ’ w for u = (1, 0, 2), v = (0, 1, โˆ’1), w = (3, 1, 1)

    Answer: ____________________

  10. 10

    Calculate 3(2, 1, โˆ’2) โˆ’ 2(3, 0, โˆ’1) + (0, 4, 1)

    Answer: ____________________

Answer key

  1. (5, 6)
  2. (6, โˆ’2)
  3. (3, 6, 0)
  4. (โˆ’6, โˆ’2)
  5. (8, 5)
  6. (1, 1, 5, 9)
  7. (3, โˆ’4)
  8. (5, 1)
  9. (โˆ’2, 1, โˆ’1)
  10. (0, 7, โˆ’3)

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