If A, B are symmetric matrices of same order, then AB$-$BA is a
If A, B are symmetric matrices of same order, then AB$-$BA is a
Official Solution
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Option a is correct
We know that, $A = A, B’ = B$
So, (AB - $BA)’ = (AB)’ - (BA)’$
= B’A’$-$A’B’ = BA$-$AB=$-$(AB$-$BA)
$\therefore$ AB$-$BA is a skew$-$symmetric matrix.
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