Question: (a) A square matrix A has the characteristic polynomial PA(X) = (A 1)(A 5)(A + 3) Then A is a 2.1 The eigenvalues of

(a) A square matrix A has the characteristic polynomial PA(X) = (A

(a) A square matrix A has the characteristic polynomial PA(X) = (A 1)(A 5)(A + 3) Then A is a 2.1 The eigenvalues of A and their algebraic multiplicities are (list eigenvalues in the order least to greatest): 1. A = = X 3. X3 = matrix. with algebraic multiplicity with algebraic multiplicity with algebraic multiplicity (b) Suppose that B is a 6 x 6 matrix with rank (B) = 2. Find the geometric multiplicity of the eigenvalue = 0 of B. Geometric multiplicity

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