Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.6 - Matrices - Exercises - Page 184: 16

Answer

$(A^t)^t=A$

Work Step by Step

We can write the matrix $A$ as $[a_{ij}]$ where $a_{ij}$ represents the element in the ith row and jth column of $A$. The transposed matrix interchanges the rows and columns of the initial matrix. $(A^t)^t=([a_{ij}]^t)^t =[a_{ji}]^t=[a_{ij}]=A$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.