Question: (a) A square matrix A has the characteristic polynomial PA(X) = (1- 4)3(1 - 6)'(1+ 3)3 Then A is a matrix. The eigenvalues of A

(a) A square matrix A has the characteristic polynomial PA(X) = (1- 4)3(1 - 6)'(1+ 3)3 Then A is a matrix. The eigenvalues of A and their algebraic multiplicities are (list eigenvalues in the order least to greatest): 1. A1 = with algebraic multiplicity 2. A2 = with algebraic multiplicity 3. A3 with algebraic multiplicity (b) Suppose that B is a 7 x 7 matrix with rank(B) = 4. Find the geometric multiplicity of the eigenvalue A = 0 of B. Geometric multiplicity

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