Answer
See below
Work Step by Step
We can write set $S$ as $S=\{A \in M_2(R): \det A=1\}$
Since $\begin{bmatrix}
0 & 0 \\ 0 & 0
\end{bmatrix} \notin S$, $S$ is not a subspace of $M_2(R)$
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: 9
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