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.
