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 A^T (read as A transpose).

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

Question 1 :

If A =

find A^T.

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 -A^T.

Solution :

Question 3 :

If A =

then verify (A^T )^T = A.

Solution :

Hence proved.

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HOW TO FIND THE TRANSPOSE OF A MATRIX

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