If \( A=\left[\begin{array}{ccc}5 & -6 & 7 \\ a & 7 & -1 \\ b & c &...

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If \( A=\left[\begin{array}{ccc}5 & -6 & 7 \\ a & 7 & -1 \\ b & c & 2\end{array}\right] \), is a symmetric matrix then
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find the value of \( a+b+c \).
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