Answer
the two matrices are $I$ and $-I$
Work Step by Step
the two matrices which satisfy that $A^{2}=I$ are $I$ and $-I$
where $I$ is the identity matrix of order 2
such that $I^{2}=I$ and $(-I)^{2}=I^{2}=I$
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 99: 37
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