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(ABT−BAT)T
=(ABT)T−(BAT)T
=BAT−ABT
=−(ABT−BAT)
A square matrix whose transpose equals its negative is called a skew-symmetric matrix.
∴ ABT−BAT is a skew-symmetric matrix.
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if A and B are matrices of the same order, then (A B A -1)a is
tq
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