Matrix Equations

Let A,X and B be matrices. Assume A^-1 exists.

Solve AX = B for X

• X = AB

• X = BA

• X = A^-1B

• X = BA^-1

Let A,X and B be matrices. Assume A^-1 exists.

Solve XA = B for X

• X = AB

• X = BA

• X = A^-1B

• X = BA^-1

A __________ matrix is a matrix with rows = columns.

• Same

• Equal

• Big

• Square

Find the values of m and n.

• m = 3, n = -5

• m = 11, n = -5

• m = 3, n = -4

• m = 11, n = -4

Which of the following matrix operations are defined? (Select all that apply)

• AB

• BA

• CD

• DE

• DF

Solve the matrix equation using inverse equations.

• A

• B

• C

• D

Solve the matrix equation using inverse equations.

• A

• B

• C

• D

Solve the system using matrices
3x - 8x = 32
x + y = 7

• (-8, 1)
• (8, -1)
• (-1,8)
• (1, -8)

Solve for x and y.

• x = 6 and y = 7

• x = 2/3 and y = -5

• x = 1/6 and y = -7

• x = -6 and y = 1/7

Evaluate the determinant of the matrix.

• -21
• 0
• 9
• 12