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If A= [[1,-1,-1],[1,-1,0],[1,0,-1]] then...

If `A= [[1,-1,-1],[1,-1,0],[1,0,-1]]` then find transpose of A

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The correct Answer is:
D
`therefore det (A - lambdaI) = [[1-lambda,-1,-1],[1,-1-lambda,0],[1,0,-1-lambda]]=0`
`rArr (1-lambda ) (1+lambda)^(2) - 1-lambda -1 -lambda = 0`
`rArr lambda^(3) + lambda^(2) + lambda + 1= 0`
` rArr A^(3) + A^(2) + A + I = 0`
`rArr A^(3) + A^(2) + A= -I`
Statement -1 is false but Statement -2 is true.
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