The inverse of a skew symmetric matrix of odd order is

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A symmetric matrix

A skew symmetric matrix

diagonal matrix

does not exist

answer is D.

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Detailed Solution

Let A be a skew symmetric matrix of order n. By definition A'=−A⇒A′=|−A|⇒|A|=(−1)n|A|⇒|A|=−|A| [∵n is odd ]⇒2|A|=0 ⇒|A|=0. ∴A−1 doesnotexist.

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