Mathematics: Advanced Matrices Test
10 Questions
| Total Attempts: 36
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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. - ProProfs]( "Find the determinant of the following matrix.")
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.) - ProProfs]( "To find the inverse of the following matrix. What would your first step be? (Assume the inverse exists.)")
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? - ProProfs]( "To find the inverse of the following matrix, what would be the next step you would perform?")
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? - ProProfs]( "To find the inverse of the following matrix, what would be the next step you would perform?")
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? - ProProfs]( "To find the inverse of the following matrix, what would be the next step you would perform?")
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? - ProProfs]( "Which of the following is the correct inverse of the following matrix?")
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. - ProProfs]( "Find the inverse of the following matrix if it exists.")
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. - ProProfs]( "Find the inverse of the following matrix if it exists.")
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. - ProProfs]( "Find the inverse of the following matrix if it exists.")
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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