Answer
No
Work Step by Step
Theorem 8 lists equivalent statements. Among them are:
$\mathrm{a}. \quad A$ is an invertible matrix.
and
$\mathrm{h}.\ \quad $The columns of $A$ span $\mathbb{R}^{n}$.
If (h) is false, then so is (a).
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 - 2.3 Exercises - Page 117: 16
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