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In this lesson, we will learn how to find the transpose of a matrix, elements of a given row and column after transposing, and a matrixβs dimensions after transposing.

Q1:

What operation must be performed on the matrix to get the matrix ? How does this operation affect the value of the determinant?

Q2:

Consider the matrices Is it true that ( πΆ π΅ π΄ ) = π΄ π΅ πΆ ο³ ο³ ο³ ο³ ?

Q3:

If π is a matrix of order 4 Γ 1 , then what is the order of the matrix π π ?

Q4:

If π΄ = οΌ 6 7 ο and π΅ = ( 5 0 ) , what is ( π΅ π΄ ) π ?

Q5:

Given that what is π΄ π΅ π π ?

Q6:

Given that determine the value of π + π 1 2 2 1 .

Q7:

Find the transpose of the matrix ο β 5 4 4 ο .

Q8:

Find the transpose of the matrix οΌ 6 β 5 6 1 6 8 ο .

Q9:

Find the transpose of the matrix ο 3 5 β 6 β 8 β 5 β 2 ο .

Q10:

Find the transpose of the matrix ο β 2 β 1 8 ο .

Q11:

Given the matrix find οΉ π΄ ο π π .

Q12:

Given the shown matrices, determine whether ( π β π ) = ( π ) β ( π ) π π π .

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