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 - 2.4 Elementary Matrices - 2.4 Exercises - Page 82: 10

Answer

$$E=\left[\begin{array}{rrr}{1} & {0} & {1} \\ {0} & {1} & {0} \\ {0} & {0} & {1}\end{array}\right].$$

Work Step by Step

The matrix $$E=\left[\begin{array}{rrr}{1} & {0} & {1} \\ {0} & {1} & {0} \\ {0} & {0} & {1}\end{array}\right].$$ is elementray and satisfies $$EA=\left[\begin{array}{rrr}{1} & {0} & {1} \\ {0} & {1} & {0} \\ {0} & {0} & {1}\end{array}\right]\left[\begin{array}{rrr}{1} & {2} & {-3} \\ {0} & {1} & {2} \\ {-1} & {2} & {0}\end{array}\right]=\left[\begin{array}{rrr}{0} & {4} & {-3} \\ {0} & {1} & {2} \\ {-1} & {2} & {0}\end{array}\right]=C.$$
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.