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Consider the following 3 3 matrix: A = 2 3 7 -1 -2 4 (a) Find the eigenvalues for matrix A. (b) Find all

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Consider the following 3 3 matrix: A = 2 3 7 -1 -2 4 (a) Find the eigenvalues for matrix A. (b) Find all eigenvectors that correspond to all eigenvalues found in (a). (c) Use MATLAB to prove your numerical solutions in (a) and (b).

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