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Given

`,x^(')=Ax,`

where

`A=[[-1,0,1],[0,-1,1],[1,-1,-1]]`

-------(I) [1] Find all eigenvalues of A. Show all work. Specify the multiplicity of each eigenvalue. [2] Find all eigenvectors associated to each eigenvalue

`\lambda `

. Show work to justify your answers [3] Construct a general solution using generalized eigenvectors. Show work to justify your answers.