Answer
See below
Work Step by Step
Assume $A$ be the matrix $m\times n$ and $b \in R^m$ be the fixed nonzero vector in $S$
We can write set $S$ as $S=\{(x \in R^n: Ax=b\}$
Since $b \ne 0$ and $0 \ne S$, $S$ is not a subspace of $R^n$
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 4 - Vector Spaces - 4.3 Subspaces - Problems - Page 273: 7
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