Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 2 - Matrices - 2.1 Operations with Matrices - 2.1 Exercises - Page 50: 78

Answer

a) No b) No c) Yes, No

Work Step by Step

a) Since $A, B$ do not have the same order (same dimensions), they cannot be equal. b) No. For addition of two matrices to be defined, they must be of the same order. c) $AB$ is defined as the number of columns of $A$ is equal to the number of rows of $A$. However, $AB=BA$ is not possible, because for this to happen, first $BA$, must be defined, which in this case is not true. This is because the number of columns of $B$ is not equal to the number of rows of $A$.
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