3. Consider that matrix 406] (a) Find the eigenvalues of 4. Also find the corresponding eigenspaces and their dimensions. (b) Explain why A is diagonalizable. Calculate 42021 (c) Your friend claims "I think if I diagonalizes A. then P diagonalizes every integral power of A." Is his statement correct? Il not, under what condition(s) the statement holds true?

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