Question
\text { Let } A=\left[\begin{array}{rrr} 2 & 2 & -1 \\ 1 & 3 & -1 \\ -1 & -2 & 2 \end{array}\right] You are given that det(A – AI) = -(A – 1)²(A – 5). a) Find the eigenvalues of A. b) Find the corresponding eigenspace E, for each eigenvalue A of A. What is the dimension of E,? c) Diagonalize A by finding an invertible
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