Let $A$ be the $2\times 2$ matrix representing the reflection in the line $y=2x$. What are the eigenvalues of $A$?

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Let $A$ be the $2\times 2$ matrix representing the reflection in the line $y=2x$. Are the eigenvalues of $A$

(a) $\lambda_1=1$, $\lambda_2=0$

(b) $\lambda_1=-1$, $\lambda_2=0$

(c) $\lambda_1=1$, $\lambda_2=-1$

(d) None of the above?

Hello, I know how to calculate Eigen values when giving a matrix, but I'm not sure what this question means exactly. Any help is greatly appreciated