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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)` is also non-singular (ii) `(a d j\ A)^(-1)=1/(|A|)Adot`

Text Solution

Verified by Experts

we know that
`AadjA=∣A∣I`
`=>∣AadjA∣=∣A∣^n `
`=>∣A∣∣adjA∣=∣A∣^n`
`=>∣adjA∣=∣A∣^(n−1)`
Now, A is singular .
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