Matrix Inverses

​But first let's review...

Multiple Choice

If two matrices have same order then these can be-

• Added

• Subtracted

• Multiplied

• All of the options

Multiple Choice

What is a matrix with the same number of rows as columns?

• square

• monkey

• full set

• equivalent

Multiple Choice

If matrix A is a 2x2 matrix, and matrix B is a 2x3 matrix, what will the dimensions of the solution matrix AB be?

• undefined

• 2x2

• 2x3

• 3x2

Multiple Choice

Two matrices A and B can be multiplied to get AB if

• both are rectangular both have same order

• # of columns of A is equal to # columns of B

• # of rows of A is equal to # of columns of B

• # of columns of A is equal to the # of rows of B

Multiple Choice

Can the operation be performed?

• Yes

• No

Multiple Choice

These matrices are being multiplied. Determine the dimension/size of the new matrix. 

• Can't multiply them
• 4  x  2
• 3  x  3
• 4  x  3

Multiple Choice

Find the product of the two matrices.

• 1 2

  6 -8

• -3 -5

  -5 -11

• -2 8

  -6 -12

• 2 -3

  5 -2

Multiple Choice

Which matrix is an identity matrix

• A

• B

• C

• D

Multiple Choice

Identify

• Cramer's Rule
• row echelon form
• Identity matrix
• inverse matrix

Multiple Choice

Find the inverse of the matrix:

Multiple Choice

Will this matrix have an inverse?

• Yes

• No

• Unable to Determine

Multiple Choice

Find the inverse of the matrix:

Multiple Choice

Find the inverse of the matrix.

• No Inverse Exists

Multiple Choice

When you multiply a matrix by the identity matrix, you obtain the

• inverse matrix.

• transpose matrix.

• Identity matrix

• original matrix.

Multiple Choice

When you multiply a matrix by the inverse matrix, you obtain the

• inverse matrix.

• transpose matrix.

• Identity matrix

• original matrix.

Multiple Choice

Are these matrices inverses of each other?

• Yes

• No

• Unable to Determine

Multiple Choice

Which of the following are NOT inverse matrices of each other?