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 - 2.9 Exercises - Page 161: 19

Answer

See solution

Work Step by Step

If the subspace of all solutions has a basis of 3 vectors, dim Nul A=3. Then, from the Rank Theorem, we know Rank A=n-dim Nul A=7-3=4.

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