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In this lesson, we will learn how to perform operations on matrices, such as adding them, subtracting them, transposing them, and multiplying them by scalars.

Q1:

Solve for matrix π in the matrix equation 3 π + π΅ = πΆ , where π΅ and πΆ are

Q2:

Find the sum of the following matrices.

Q3:

Given that what is 1 3 ( π΄ + π΅ ) ?

Q4:

Given that find π΄ π .

Q5:

If and , is ?

Q6:

Suppose that , , and .

Find .

Express in terms of and .

Q7:

Consider the matrices

Find οΉ π΄ + π΅ ο οΉ π΄ β π΅ ο π π .

Q8:

Given that determine οΉ π΄ π΅ ο π π .

Q9:

Given that determine the matrix π΅ .

Q10:

Given that find the result of π΄ β π΅ π , if possible.

Q11:

If and then which of the following cannot exist?

Q12:

Given that the order of the matrix π΄ is 2 Γ 2 , and that of the matrix π΅ π is 1 Γ 2 , which of the following operations can be performed?

Q13:

π½ and πΎ are two matrices with the property that for any 3 Γ 3 matrix π , π½ π = π and π πΎ = π . Are π½ and πΎ equal?

Q14:

π½ and πΎ are two matrices with the property that for any 2 Γ 3 matrix π , π½ π = π and π πΎ = π . Are π½ and πΎ equal?

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