Consider the following. (a) Compute the characteristic polynomial of A. A = det(A - 2) = λ₁ = 4 05 6 -1 6 5 0 4 (b) Compute the eigenvalues and bases of the corresponding eigenspaces of A. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) λη = λ3 = has eigenspace span has eigenspace span has eigenspace span ↓↑ ↓ 1 (c) Compute the algebraic and geometric multiplicity of each eigenvalue. A has algebraic multiplicity and geometric multiplicity λ₂ has algebraic multiplicity and geometric multiplicity 23 has algebraic multiplicity and geometric multiplicity (smallest λ-value) (largest λ-value)

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