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4. For the following matrix [1 3 -3 0 4 0 0 A 9 (a) Find the Eigenvalues. Hint: All the eigenvalues are integers

4. For the following matrix [1 3 -3 0 4 0 0 A 9 (a) Find the Eigenvalues. Hint: All the eigenvalues are integers and range from 0 to 10. (b) Find the Eigenvectors associated with each Eigenvalue. (c) Find the square root of A. How many square roots this matrix has?

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