Compute (a) The characteristic polynomial of A, (b) The eigenvalues of A, (c) A basis for each

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Compute

(a) The characteristic polynomial of A,

(b) The eigenvalues of A,

(c) A basis for each eigenspace of A,

(d) The algebraic and geometric multiplicity of each eigenvalue.1 4 1 A = -1 2 0 ||

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