Solving Linear Systems with 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

Fill in the Blank

Determine whether the given matrix is an identity matrix? If it is not an identity matrix, give your reason.

Fill in the Blank

Determine whether the given matrix is an identity matrix? If it is not an identity matrix, give your reason.

Multiple Choice

Identify

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

Fill in the Blank

Determine whether the given matrix are identity matrix? If it is not an identity matrix, give your reason.

Fill in the Blank

Determine whether the given matrix are identity matrix? If it is not an identity matrix, give your reason.

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?