If $A$ is a $3 \times 3$ non-singular matrix such that $AA'=A'A$ and $B = {A^{ - 1}}A',$ then $BB'$ equals:

Question

If $A$ is a $3 \times 3$ non-singular matrix such that $AA'=A'A$ and
$B = {A^{ - 1}}A',$ then $BB'$ equals:

${B^{ - 1}}$

$\left( {{B^{ - 1}}} \right)'$

$I+B$

$I$

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