Question
Question: If A, B are symmetric matrices of the same order then (AB – BA) is –...
If A, B are symmetric matrices of the same order then
(AB – BA) is –
A
Symmetric matrix
B
Skew-symmetric matrix
C
Null matrix
D
Unit matrix
Answer
Skew-symmetric matrix
Explanation
Solution
A' = A & B' = B given
̃ (AB – BA)' = (AB)' – (BA)'
= B'.A' – A'.B'
= B. A – A. B
= – (AB – BA)
\ AB – BA is skew symmetric matrix