Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 10 - 10.1 - Matrices and Systems of Equations - 10.1 Exercises - Page 710: 42

Answer

The matrix is not in Row-Echelon Form.

Work Step by Step

There are 3 main rules for a matrix to be in row echelon form: 1. A row of all 0s must be at the bottom. 2. The first non-zero entry in a row must be a 1. This is called the leading 1. 3. The leading 1 in a higher row must be in a column further to the left than a lower leading 1. For a matrix to be in reduced row echelon form, the rules for row echelon form must be met with the addition of this rule: 4. Every column with a leading 1 must have all 0s above the leading 1. Rule 3 is not followed because in row 3, the leading one is in the same column as the leading 1 above it. To follow the rule, the leading 1 in row 3 must be to the right of the leading one in row 2. The matrix is not in Row-Echelon Form.
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.