Questions
If A and B are symmetric matrices, then AB – BA is a
a
symmetric matrix
b
skew-symmetric matrix
c
diagonal matrix
d
null matrix
detailed solution
Correct option is B
We are given A′=A,B′=BNow (AB−BA)′=(AB)′−(BA)′=B′A′−A′B′=BA−AB=−(AB−BA)i.e. (AB−BA)′=−(AB−BA)Hence, AB-BA is a skew-symmetric matrix.Talk to our academic expert!
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If A is symmetric as well as skew symmetric matrix, then A is
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