A symmetric matrix

The matrix

$A:=\left(\begin{array}{ccc} 4 & 3 / 2 & 2 \\ 3 / 2 & 2 & 5 / 2 \\ 2 & 5 / 2 & 2 \end{array}\right)$

is symmetric. The matrix

$A:=\left(\begin{array}{ccc} 4 & 3 / 2 & 2 \\ 3 / 2 & 2 & {\bf 5} \\ 2 & {\bf 5 / 2} & 2 \end{array}\right)$

is not, since it is not equal to its transpose.

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