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.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. AP Precalculus Problems and Solutions (Part - 1)

    Oct 30, 24 10:07 AM

    AP Precalculus Problems and Solutions (Part - 1)

    Read More

  2. SAT Math Resources (Videos, Concepts, Worksheets and More)

    Oct 29, 24 06:24 AM

    SAT Math Resources (Videos, Concepts, Worksheets and More)

    Read More

  3. Digital SAT Math Problems and Solutions (Part - 61)

    Oct 29, 24 06:23 AM

    Digital SAT Math Problems and Solutions (Part - 61)

    Read More