Questions
If A and B are two skew-symmetric matrices of order n, then
a
AB is a skew-symmetric matrix
b
AB is a symmetric matrix
c
AB is a symmetric matrix if A and B commute
d
none of these
detailed solution
Correct option is C
We are given A′=−A and B′=−BNow, (AB)′=B′A′=(−B)(−A)=BA=AB if A and B commute.Talk to our academic expert!
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If A is a 3 × 3 skew-symmetric matrix, then trace of A is
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