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The inverse of a skew symmetric matrix of odd order is
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a
A symmetric matrix
b
A skew symmetric matrix
c
diagonal matrix
d
does not exist
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Correct option is D
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.Similar Questions
If is a matrix satisfying the equation then
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