Matrix Properties

Which properties apply to matrix addition? (Select all of the correct answers)

• Associative

• Commutative

• Distributive

Which properties apply to matrix multiplication? (Select all of the correct answers)

• Associative

• Commutative

• Distributive

What is the identity for matrix multiplication?

• 1 1

  1 1

• 1 0

  0 1

• 0 0

  0 0

• 0 1

  1 0

In regards to matrices, does A+B=B+A?

• Sometimes

• Always

• Never

In regards to matrices, does AB=BA?

• Sometimes

• Always

• Never

In regards to matrices, does AI=IA?

• Sometimes

• Always

• Never

What must be true in order to ADD two matrices?

• They must be square.

• The dimensions must be equal.

• The determinant can't equal 0.

• The column of the 1st must equal the row of the 2nd.

• It's the same as matrix A

• It's the inverse of matrix A

• It only has 1's and 0's

• It's determinant is 0

If matrix A has order 2x3 and matrix B has order 3x5, will AB=BA?

• Sometimes

• Always

• Never

If matrix A and matrix B both have order 5x5, will AB=BA?

• Sometimes

• Always

• Never