Let $\mathbf{R}$ be the matrix for reflecting over the vector $\begin{pmatrix} 3 \\ 1 \end{pmatrix}.$  Find $\mathbf{R}^2.$
Question:
Let $\mathbf{R}$ be the matrix for reflecting over the vector $\begin{pmatrix} 3 \\ 1 \end{pmatrix}.$  Find $\mathbf{R}^2.$
Answer:
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\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}
Let $\mathbf{R}$ be the matrix for reflecting over the vector $\begin{pmatrix} 3 \\ 1 \end{pmatrix}.$  Find $\mathbf{R}^2.$
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