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**chocaholic** I need some help with the following problem please?

Let A be a 3x3 matrix with eigenvalues -1,0,1 and corresponding eigenvectors

l1l . l0l . l0l

l0l ; l1l ; l1l respectively.

l0l . l1l . l2l

Find A.

I know that I need to work backwards on this problem so I set up the characteristic equation with th known eigenvalues ending up with x^3-x=0 but now I'm stuck I don't know where to go from here and how to use the eigenvectors. I can set up A with all unknowns and subtract it from kI where k is the eigenvalue and I is the identity matrix then find the determinant, but there are too many unknowns and too few equations. I'm totally confused.

Can someone please assist?

Thanks in advance.