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If A=[[2 ,3],[ 5,-2]] , show that A^(-1)...

If `A=[[2 ,3],[ 5,-2]]` , show that `A^(-1)=1/(19)Adot`

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Given,`A=[[2 ,3],[ 5,-2]]`
We now that adj(A)=Transpose of cofactor matrix
`adj(A)=[[-2 -,3],[- 5,2]]`
Also,`|A|=2 xx(-2)-3 xx5`
`|A|=-19`
Thus `A^(-1)=adj(A)/(|A|)`
`A^(-1)=-1/19[[-2 -,3],[- 5,2]]`
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