# Lesson Worksheet: Properties of Matrix Multiplication Mathematics • 10th Grade

In this worksheet, we will practice identifying the properties of matrix multiplication, including the transpose of the product of two matrices, and comparing them to the properties of multiplication of numbers.

Q1:

Which of the following satisfies the equation

• A
• B
• C
• D

Q2:

Given three matrices ,, and , which of the following is equivalent to ?

• A
• B
• C
• D
• E

Q3:

Given that find and .

• A,
• B,
• C,
• D,

Q4:

Consider the matrices  and . Is ?

• ANo
• BYes

Q5:

Given that and is the identity matrix of the same order as , find and .

• A,
• B,
• C,
• D,

Q6:

Suppose that , , and .

Find .

• A
• B
• C
• D
• E

Find .

• A
• B
• C
• D
• E

Find .

• A
• B
• C
• D
• E

Express in terms of and .

• A
• B
• C
• D
• E

Q7:

Given that is it true that ?

• ANo
• BYes

Q8:

Let , and

Find .

• A
• B
• C
• D
• E

Find .

• A
• B
• C
• D
• E

Find .

• A
• B
• C
• D
• E

Find .

• A
• B
• C
• D
• E

Q9:

True or False: If and are both matrices, then is never the same as .

• AFalse
• BTrue

Q10:

Given that what is ?

• A
• B
• C
• D

This lesson includes 26 additional questions and 80 additional question variations for subscribers.