Proving Matrix Transpose: (AB)^T = C^T = B^T * A^T

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asdf1

how do you prove:
(AB)^T=C^T=B^T*A^T?

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HallsofIvy

First write out the precise definition of "transpose".

twoflower

Try expressing individual element of [itex]A[/itex], [itex]B[/itex], [itex]AB[/itex] and then [itex]AB^T[/itex].

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