Question: Need help on finding the eigenvalues of T, finding the eigenspace of E(lambda, T) for each eigenvalue lambda and explaining whether or not if T

Need help on finding the eigenvalues of T, finding the eigenspace of E(lambda, T) for each eigenvalue lambda and explaining whether or not if T is diagonalizable. Thank you in advanced!

Let T EL( R') be given by T(x,y, z) = (x, xty, x -z). a) Find the eigenvalues of . b) For each eigenvalue 2, find the eigenspace E(), T) . c) Is T diagonalizable? Explain

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