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In this lesson, we will learn how to check the equality of matrices and how to find values of unknown variables represented as elements in two equal matrices.

Q1:

Given that π΄ = ο 3 3 3 3 3 3 ο and that π΅ = ο 3 3 3 3 ο , is it true that π΄ = π΅ ?

Q2:

Given that π΄ = ο 7 7 7 7 7 7 ο and that π΅ = ο 7 7 7 7 ο , is it true that π΄ β π΅ ?

Q3:

Given that π΄ = ο 2 2 2 2 2 2 ο and that π΅ = ο 2 2 2 2 ο , is it true that π΄ β π΅ ?

Q4:

Given that π΄ = ο β 3 β 3 β 3 β 3 β 3 β 3 ο and that π΅ = ο β 3 β 3 β 3 β 3 ο , is it true that π΄ = π΅ ?

Q5:

Given that find the value of .

Q6:

Q7:

Given that determine the values of , , , and .

Q8:

Given that find the values of and .

Q9:

Given that determine the values of and .

Q10:

If is it true that ?

Q11:

Q12:

Given that find the values of , , , and .

Q13:

Consider the matrices and . Given that , determine the values of , , and .

Q14:

Given the following, find the values of and .

Q15:

For which of the following matrices is π΄ π΅ = π΄ πΆ ?

Q16:

Consider the linear transformation πΏ βΆ β β β 3 3 , where πΏ rotates each vector 90 degrees about the positive π₯ -axis. Find the matrix representation of πΏ in the standard basis.

Q17:

Given that is it true that ?

Q18:

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