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For matrics A and B, verify that (AB)^T=...

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

Text Solution

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`AB=[[0],[1],[2]] [[1,5,7]]=[[0,0,0],[1,5,7],[2,10,14]]`
` implies (AB)^T=[[0,1,2],[0,5,10],[0,7,14]]`
B^TA^T = [(1),(5),(7)][0 1 2]
[(0,1,2),(0,5,10),(0,7,14)] therefore (AB)^T = B^TA^T`
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A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
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