Maths-
General
Easy
Question
If A and B are two skew symmetric matrices of order n, then-
- AB is a skew symmetric matrix
- AB is a symmetric matrix
- AB is a symmetric matrix if A and B commute
- None of these
The correct answer is: AB is a symmetric matrix if A and B commute
We are given
A' = –A and B' = –B
Now, (AB)' = B'A' = (–B) (–A) = BA
= AB if A and B commute.
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