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In this lesson, we will learn how to multiply matrices.

Q1:

Given that find ( π΄ + π΅ ) π΄ .

Q2:

Given that find π΄ 2 .

Q3:

Given that find π΄ π΅ if possible.

Q4:

Given that π΄ = οΌ β 5 β 6 5 0 ο , find π΄ + 5 π΄ + 3 0 πΌ 2 .

Q5:

Determine the values of π₯ , π¦ , and π§ that satisfy the following:

Q6:

Q7:

Consider the matrices Find π΄ π΅ , if possible.

Q8:

Consider the matrices

Find if possible.

Q9:

Consider the matrices Find π΄ πΆ π΅ and π΅ π΄ πΆ if possible.

Q10:

Find .

Q11:

Suppose

Find the product .

Q12:

Evaluate the matrix product

Q13:

Consider the matrix product

What can you conclude about it?

Is it possible to find a matrix π΅ with the above property for every 2 Γ 3 matrix π΄ ?

Q14:

Find π΄ π΅ π and π΄ π΅ π .

Q15:

Let π₯ = ( β 1 β 1 1 ) and π¦ = ( 0 1 2 ) . Find π₯ π¦ π and π₯ π¦ π .

Q16:

Consider the matrices Find π΄ π΅ πΆ if possible.

Q17:

Given that and πΌ is the unit matrix of the same order, find the matrix π for which π΄ π΅ = π Γ πΌ .

Q18:

Q19:

Given that and π = β 1 2 , find π΄ π΅ if possible.

Q20:

Q21:

Given that determine π΄ π΅ if possible.

Q22:

Given that find the value of β π₯ π¦ .

Q23:

Let , .

Verify that if matrix satisfies , then and . Find matrices and so that , and then use this to find and so that

Q24:

Find the values of π₯ and π¦ given

Q25:

Given that where π is the zero matrix of order 2 Γ 2 , find the values of π₯ and π¦ .

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