For the given matrix A. 54 A = 4 5 2 22 (a) Find the characteristic polynomial in expanded form. (b) Find the Eigenvalues (include multiplicities) of A. (c) Find the Eigenvectors of the matrix A. 222 (d) Describe a basis for each Eigenspace (subspace of Eigenvectors corresponding to each Eigenvalue and the zero vector) and give its dimension.

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