Lesson Worksheet: Matrix Multiplication Mathematics • 10th Grade

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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 .

Q2:

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

Q3:

Consider the matrices Find , if possible.

A
B
C
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.

Q6:

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

Q7:

Suppose Which of the following products is defined?

Q8:

Given that determine if possible.

A
Bundefined
C
D

Q9:

Given that , find .

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.

Hotel	Single Room	Double Room	Suite
First Hotel	45	74	15
Second Hotel	48	74	19
Third Hotel	49	94	10

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