Questions
The inverse of a 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 A
Let A be an invertible symmetric matrix.We have AA−1=A−1A=In⇒AA−1′=A−1A′=In′⇒A−1′A′=A′A−1′=In⇒A−1′A=AA−1′=InA−1′=A−1 [inverse of a matrix is unique]Similar Questions
If is a matrix satisfying the equation then
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