Express the following matrices as the sum of symmetric and skew-symmetric matrices: \[ \left[\be...

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Express the following matrices as the sum of symmetric and skew-symmetric matrices:
\[
\left[\begin{array}{lll}
3 & 2 & 5 \\
4 & 1 & 3 \\
0 & 6 & 7
\end{array}\right]
\]
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