HOW TO FIND THE TRANSPOSE OF A MATRIX

Transpose of a matrix :

The matrix which is obtained by interchanging the elements in rows and columns of the given matrix A is called transpose of A and is denoted by AT (read as A transpose).

If order of A is m x n then order of AT is n x m . We note that (AT )T = A.

Question 1 :

If A = 

find AT.

Solution :

To find the transpose of the given matrix, we have to write the elements in the rows as columns and the elements in the columns as rows.

Question 2 :

If A = 

find -AT.

Solution :

Question 3 :

If A = 

then verify (AT )T = A.

Solution :

Hence proved.

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