1. For each of the following matrices A, determine (i) if A is diagonalizable over R and (ii) if A is diagonalizable over C. When A is diagonalizable over C, find the eigenvalues, eigenvectors, and eigenbasis, and an invertible matrix P and diagonal matrix D such that P-AP = D. 3 -1 1 (A) A = 1 Го -1 1 (В) А — 0 -2 [2 0 2 1 (C) A = 1 0 2 O O O 2

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