Let (a) Find the characteristic polynomial of A. (b) Find all of the eigenvalues of A. (c)

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Let 

-5 -6 3 A = 3 4 -3 0 -2.

(a) Find the characteristic polynomial of A.
(b) Find all of the eigenvalues of A.
(c) Find a basis for each of the eigenspaces of A.

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