3. Determine the following for the matrix A. (a) Find the eigenvalues. (b) Find the bases of corresponding eigenspaces. (c) Find the characteristic and minimal polynomials. (d) Is the matrix diagonalizable? Justify your answer. [1001 3 5 7 2n – 1 ... 1 1003 5 7 2n – 1 ... A = 1 3 1005 7 2n – 1 ... 1 3 7 1000 + (2n – 1) ...

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