Find the matrix that corresponds to reflecting over the vector $\begin{pmatrix} -1 \\ 3 \end{pmatrix}.$
Question:
Find the matrix that corresponds to reflecting over the vector $\begin{pmatrix} -1 \\ 3 \end{pmatrix}.$
Answer:
Let's think step by step.

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\begin{pmatrix} -4/5 & -3/5 \\ -3/5 & 4/5 \end{pmatrix}
Find the matrix that corresponds to reflecting over the vector $\begin{pmatrix} -1 \\ 3 \end{pmatrix}.$
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