Questions
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 definitionA′=−A⇒ A′=|−A|⇒|A|=(−1)n|A|⇒ |A|=−|A| ⇒ 2|A|=0⇒|A|=0 [∵ n is odd]∴A−1does not exist.Similar Questions
Let A be an invertible matrix. Which of the following is not true?
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