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If A=[[-2],[4], [5]], B=[[1 ,3,-6]], ver...

If `A=[[-2],[4], [5]]`, `B=[[1 ,3,-6]]`, verify that `(A B)' = B'A'`.

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Verified by Experts

we have
`A=[{:(,-2),(,4),(,5):}]`, B=(1,3,-6)
Then `AB=[{:(,-2),(,4),(,5):}]` (1,3,-6)=`=[{:(,-2,-6,12),(,4,12,-24),(,5,15,-30):}]`
Now, A'=(-2,4,5), B'=`[{:(,1),(,3),(,-6):}]`
`B'A'=[{:(,1),(,3),(,-6):}]` (-2,4,5)=`[{:(,-2,4,5),(,-6,12,15),(,12,-24,-30):}]` =(AB)'
clearly (AB)'=B'A'
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