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Let A=[[3,7],[2,5]] and B=[[6,8],[7,9]] ...

Let `A=[[3,7],[2,5]]` and `B=[[6,8],[7,9]]` . Find `(A B)^(-1)`

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`A=[[3,7],[2,5]]` and `B=[[6,8],[7,9]]`
`AB=[[67, 87],[47, 61]]`
`|AB|=-2`
`adj AB=[[61, -87],[-47,67]]`
`(AB)^(-1)=1/-2 [[61, -87],[-47,67]]`
`A^(-1)=frac{adj A}{|A|}=[[5,-7],[-2,3]]`
`B^(-1)=frac{adj B}{|B|}=1/-2 [[9,-8],[-7,6]]`
`B^(-1)A^(-1)=1/-2 [[61, -87],[-47,67]]` ...
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