If the matrix \( A=\left[\begin{array}{rrr}5 & 2 & x \\ y & z & -3 ...

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If the matrix \( A=\left[\begin{array}{rrr}5 & 2 & x \\ y & z & -3 \\ 4 & t & -7\end{array}\right] \) is a symmetric matrix, find \( x, y, z \) and \( t \).
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