Mathematics: Advanced Matrices Test

10 Questions | Total Attempts: 41

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Mathematics: Advanced Matrices Test

This quiz requires students to solve systems of equations by using matrices and calculating inverses by hand using the reduced row echelon method.


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.