Linear Algebra

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Eigenvalues – Reflection Matrices

LINALG-NWXEGN

Suppose that $R$ is an $n \times n$ matrix such that $R^2 = I_n$ (the $n \times n$ identity matrix).

What are the possible eigenvalues of $R$?

A

$1,0,-1$

B

$1$

C

$-1,0$

D

$1,0$

E

$1,-1$