If A and B are matrices of same order, then (AB1 – BA1) is Skew symmetric matrix Null matrix Symmetric matrix Unit matrix

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If A and B are matrices of same order, then (AB1 – BA1) is Skew symmetric matrix Null matrix Symmetric matrix Unit matrix

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Chanda01 · Answer 1 · 2021-01-06T10:27:05+0000

We have matrices A and B of same order .
Let P = (AB'- BA')
= (AB')' - (BA')'
= (B')'(A)'- (A')'B' = BA' - AB' = -(AB' - BA') = -P
Hence, (AB' - BA') is a skew-symmetric matrix.

If A and B are matrices of same order, then (AB1 – BA1) is Skew symmetric matrix Null matrix Symmetric matrix Unit matrix

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