Questions
The inverse of a skew-symmetric matrix (if it exists) is
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a
a symmetric matrix
b
a skew-symmetric matrix
c
a diagonal matrix
d
none of these
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Correct option is B
We have A′=−ANow, AA−1=A−1A=In⇒AA−1′=A−1A′=In′⇒A−1′A′=A′A−1′=In⇒A−1′(−A)=(−A)A−1′=InThus, A−1′=−A−1 [inverse of a matrix is unique]Similar Questions
Let A be an invertible matrix. Which of the following is not true?
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