College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 6 - Matrices and Determinants - Exercise Set 6.4 - Page 640: 55

Answer

$I_{n}$ is an $n\times n$ matrix that has 1s down the main diagonal from upper left to lower right and 0s elsewhere.

Work Step by Step

The multiplicative identity matrix $I_{n}$ is an $n\times n$ matrix such that $AI_{n}=I_{n}A=A$ for all n$\times$n matrices. $I_{n}$ is an $n\times n$ matrix that has 1s down the main diagonal from upper left to lower right and 0s elsewhere.
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