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If A is a non-singular matrix, prove ...

If `A` is a non-singular matrix, prove that `(a d j\ A)^(-1)=(a d j\ A^(-1))` .

Text Solution

Verified by Experts

We know `A^(−1)=1/det(A).adj(A)`
So,
`A^(−1)=1/(detA^(−1))​adjA^(−1)`
`=>A=1/det(A^(−1)).adj(A^(−1))`
`=>det(A^(−1))A=adj(A^(−1)) `
...
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