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Find the matrix A satisfying the matrix equation: `[[2,1],[3,2]]` A`[[-3,2],[5,-3]]`=`[[1,0],[0,1]]`

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`[[2,1],[3,2]]A[[-3,2],[5,-3]] = [[1,0],[0,1]]`
Let `B = [[2,1],[3,2]]`
`C = [[-3,2],[5,-3]]`
Then, `BAC = I`
`=>B^-1BAC^-1C = B^-1C^-1I`
`=>A = B^-1C^-1 = (CB)^-1`
Now, `CB = [[-3,2],[5,-3]][[2,1],[3,2]] = [[0,1],[1,-1]]`
Now, `(CB)^-1 = (adj(CB))/|CB|`
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