Mathematics: Advanced Matrices Test

10 Questions | Total Attempts: 58

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Mathematics: Advanced Matrices Test

Are you familiar with mathematics advanced matrices? Would you like to try this quiz? Matrices provide an example for researching the field properties that are often taken for granted as they work with real numbers: the properties of closure, classify, inverse, associativity, and distributivity. Matrices have a close connection with vectors which can be useful tools in analysis. If you want to put your knowledge to the test, this quiz can help.


Questions and Answers
  • 1. 
    Find the determinant of the following matrix.
    • A. 

      -47

    • B. 

      47

    • C. 

      23

    • D. 

      -23

    • E. 

      27

  • 2. 
    To find the inverse of the following matrix.  What would your first step be?  (Assume the inverse exists.)
    • A. 

      R1 --> R1 + (4)R1

    • B. 

      R2 --> R2/8

    • C. 

      R1--> R1/-2

    • D. 

      R2--> R2 +(4)R1

  • 3. 
    To find the inverse of the following matrix, what would be the next step you would perform?
    • A. 

      R1 --> R1/(-2)

    • B. 

      R2 --> (4)R2 - (9)R1

    • C. 

      R2 --> R2/(-9)

    • D. 

      R2 --> R2 - (2)R1

  • 4. 
    To find the inverse of the following matrix, what would be the next step you would perform?
    • A. 

      R1 --> R1 + (4)R2

    • B. 

      R1 --> R1/(-2)

    • C. 

      R1 --> R1 + (3)R2

    • D. 

      R2 --> (4)R2 +R1

  • 5. 
    To find the inverse of the following matrix, what would be the next step you would perform?
    • A. 

      R1 --> R1+ (2)R2

    • B. 

      R1 --> R1/(-2)

    • C. 

      R2 --> R2/(-2)

    • D. 

      R1 --> R1 + 2

  • 6. 
    Which of the following is the correct inverse  of the following matrix?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 7. 
    Use matrices to solve the following system of equations.  -2x - 4y = 388x + 7y = -53
    • A. 

      (-3, -11)

    • B. 

      (8.8, 22.7)

    • C. 

      (8.8, -22.7)

    • D. 

      (41.56, -22.7)

    • E. 

      (3, -11)

  • 8. 
    Find the inverse of the following matrix if it exists.
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      The inverse does not exist.

  • 9. 
    Find the inverse of the following matrix if it exists.
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      The inverse does not exist.

  • 10. 
    Find the inverse of the following matrix if it exists.
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      The inverse does not exist.

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