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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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