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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