Answer
$A$ is nonsingular whenever $x\neq 3$.
Work Step by Step
$A$ is singular if
$$ad-bc=0 \Longrightarrow -3-x=0\Longrightarrow x=-3. $$
Then $A$ is nonsingular whenever $x\neq 3$.
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Chapter 2 - Matrices - Review Exercises - Page 98: 29
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