10 Questions | Total Attempts: 41  Settings  This quiz requires students to solve systems of equations by using matrices and calculating inverses by hand using the reduced row echelon method.

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• 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.