# Lesson Worksheet: Matrix Multiplication Mathematics • 10th Grade

In this worksheet, we will practice identifying the conditions for matrix multiplication and evaluating the product of two matrices if possible.

Q1:

Fill in the blank: If matrix is of order and matrix is of order , then matrix is of order .

• A
• B
• C
• D

Q2:

Given that is a matrix of order , and is a matrix of order , determine the condition under which is defined.

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• B
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• E

Q3:

Consider the matrices Find , if possible.

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• D
• EIt is not possible.

Q4:

Given that find if possible.

• A
• B
• C
• Dit is not possible
• E

Q5:

Consider the matrices Find , if possible.

• A
• B
• C
• D

Q6:

Fill in the blank: If is a matrix of order and is a matrix of order , then matrix is of order .

• A
• B
• C
• D

Q7:

Suppose Which of the following products is defined?

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• D
• E

Q8:

Given that determine if possible.

• A
• Bundefined
• C
• D

Q9:

Given that , find .

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• D

Q10:

The table below shows the number of different types of rooms in three hotels owned by a company. If a single room costs 160 LE per night, a double room costs 430 LE per night, and a suite costs 740 LE per night, determine the company’s daily income when all the rooms are occupied.

HotelSingle RoomDouble RoomSuite
First Hotel 45 74 15
Second Hotel 48 74 19
Third Hotel 49 94 10