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Question

Mathematics Question on Matrices

If AT,BTA^T, B^T are transpose matrices of the square matrices A, B respectively, then(AB)T(AB)^T is equal to

A

ATBTA^TB^T

B

ABTAB^T

C

BATBA^T

D

BTATB^TA^T

Answer

BTATB^TA^T

Explanation

Solution

Now, (AB)T=BTAT(AB)^T = B^TA^T \,