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If A satisfies the equation x^3-5x^2+4x+...

If `A` satisfies the equation `x^3-5x^2+4x+lambda=0` , then `A^(-1)` exists if `lambda!=1` (b) `lambda!=2` (c) `lambda!=-1` (d) `lambda!=0`

Text Solution

Verified by Experts

As we given that A satisfies the given equation,
Therefore,
`A^3−5A^2+4A+lambda=0`
`A ^(−1)` exits if `k!=0` since if` k=0` then the above equation gives `A=0` and in that case `A^(−1)` wont exist.
Hence correct option is (d).
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