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Please answer the whole parts. 161] all] 41] 2?: The matrix B = 41] l E has 2 eigenvalues, 131] and ID. 41] El] 11]]

Please answer the whole parts.

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161] all] 41] 2?: The matrix B = 41] l E has 2 eigenvalues, 131] and ID. 41] El] 11]] [a] Compute bases for the associated eigenspaces. For consistency in answers reduce A M without any switching of rcnvs. One of these spaoes has dimension 2. For that set one free variable to (J for one basis vector and the other free variable to {J for the second. For all 3 eigenvectors you may scale so they are integral. Determine a diagonalization PEP1. You can use a computer to nd P\

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