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For matrics A and B, verify that (AB)^T=B^T .A^T, where A=[[0],[1],[2]], B=[[1,5,7]]

Answer»

SOLUTION :`AB=[[1],[-4],[3]] [[-1,2,1]]=[[-1,2,1],[4,-8,-4],[-3,6,3]]`
therefore `(AB)^T=[[-1,4,-3],[2,-8,6],[1,-4,3]]`
`B^T A^T=[[-1],[2],[1]] [1,-4,3]]=[[-1,4,-3],[2,-8,6][1-4,3]]` ,
thus `(AB)^T=B^T A^T`


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