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A skew-symmetric matrix S satisfies the relation $S^2+I=0$ where $I$ is a unit matrix. Then $SS'$ is equal to


1 Answer

Since $S$ is skew-symmetric matrix $S'=-S$
We have $S^2+I=0$
$\Rightarrow S.S.S'=-IS'$
(i.e) $ISS'=I$
$\Rightarrow $ If $SS'=I$ then $S$ is said to be an orthogonal matrix.
Hence (a) is the correct answer.
answered Nov 25, 2013 by sreemathi.v

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