Quiz about Matrix Properties

Question 1

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

Accepted Answer

Associative

Accepted Answer

Commutative

Accepted Answer

Distributive

Question 2

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

Accepted Answer

Associative

Accepted Answer

Distributive

Answer

Commutative

Question 3

What is the identity for matrix multiplication?

Accepted Answer

1 00 1

Answer

1 11 1

Answer

0 00 0

Answer

0 11 0

Question 4

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

Accepted Answer

Always

Answer

Sometimes

Answer

Never

Question 5

In regards to matrices, does AB=BA?

Accepted Answer

Sometimes

Answer

Always

Answer

Never

Question 6

In regards to matrices, does AI=IA?

Accepted Answer

Always

Answer

Sometimes

Answer

Never

Question 7

What must be true in order to ADD two matrices?

Accepted Answer

The dimensions must be equal.

Answer

They must be square.

Answer

The determinant can't equal 0.

Answer

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

Question 8

In regards to matrices, if $$AB=I$$ what do you know about matrix B?

Accepted Answer

It's the inverse of matrix A

Answer

It's the same as matrix A

Answer

It only has 1's and 0's

Answer

It's determinant is 0

Question 9

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

Accepted Answer

Never

Answer

Sometimes

Answer

Always

Question 10

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

Accepted Answer

Sometimes

Answer

Always

Answer

Never

Question 11

How many rows are in a 7 x 3 matrix?

Accepted Answer

7

Answer

3

Answer

21

Answer

10

Question 12

What values of x and y make the equation true?

Accepted Answer

x = 5

y = -2

Answer

x = 3

y = -5

Answer

x = 9

y = 10

Answer

x = 16

y = -5

Question 13

Given these matrices find C - D

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

NA

Question 14

Find the values of x, y and z.

Accepted Answer

w = 13, x = 4, y = 11, z = 23

Answer

w = 13, x = 4, y = 7, z = 23

Answer

w = 13, x = -4, y = 11, z = 23

Answer

w = 13, x = 4, y = 11, z = 17

Question 15

What do m, n, p and q equal in this scalar matrix multiplication?

Accepted Answer

m=15, n = -45, p=20, q=-5

Answer

m=8, n=9, p=-4, q=4

Answer

m=20, n=-5, p=15, q=-45

Answer

m=-5, n=20, p=-45, q=15

Matrix Properties

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