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(Solved): Given ,x^(')=Ax, where A=[[-1,0,1],[0,-1,1],[1,-1,-1]]-------(I) [1] Find all eigenvalues of A. Sho ...



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.



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