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Let A=[{:(1,2,1),(0,1,-1),(3,1,1):}]. Fi...

Let `A=[{:(1,2,1),(0,1,-1),(3,1,1):}]`. Find the sum of all the value of `lamda` for which there exists a column vertor `Xne0` such that `AX=lamdaX`.

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The correct Answer is:
3
`AX=lamdaX=implies(A-lamdaI)X=0`
`implies|A-lamdaI|=0implieslamda^(2)-3lamda^(2)-lamda+9=0`
`because` Sum roots `=3`
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