Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 2 - Matrix Algebra - 2.8 Exercises - Page 153: 18

Answer

Yes, see solution

Work Step by Step

Let A be matrix $\begin{bmatrix} 1&-5&7\\ 1&-1&0\\ -2&2&-5 \end{bmatrix}$~$\begin{bmatrix} 1&0&0\\ 0&1&0\\ 0&0&1 \end{bmatrix}$ Columns of A span $R^2$ if A is invertible by Theorem 8 because the columns of A form a linearly independent set.
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.