Linear Algebra and Its Applications (5th Edition)

by Lay, David C.; Lay, Steven R.; McDonald, Judi J.

Published by Pearson

ISBN 10: 032198238X

ISBN 13: 978-0-32198-238-4

Chapter 2 - Matrix Algebra - 2.8 Exercises - Page 154: 31

Answer

See solution.

Work Step by Step

Because Col F is not equal to $R^{5}$, matrix F has pivots less than 5. This means F has nullity more than 0. Because F has a pivot less than # of columns, Nul F does not span a zero space and its basis has at least 1 non zero vectors.

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.

GradeSaver will pay $15 for your literature essays

GradeSaver will pay $25 for your college application essays

GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical

GradeSaver will pay $10 for your Community Note contributions

GradeSaver will pay $500 for your Textbook Answer contributions