Question
If $A=\left[\begin{array}{ll}1 & 3 \\ 3 & 4\end{array}\right]$ and $B=\left[\begin{array}{ll}-2 & 1 \\ -3 & 2\end{array}\right]$ and $A^2-5 B^2=5 C$, find matrix $C$, where $C$ is a 2 by 2 matrix.
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Answer
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