Consider the following. *-[49] A = (a) Compute the characteristic polynomial of A. det(A-AI) = (b) Compute the eigenvalues and bases of the corresponding eigenspaces of A. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) A₁ = 2₂= has eigenspace span has eigenspace span (c) Compute the algebraic and geometric multiplicity of each eigenvalue. (smallest λ-value) (largest λ-value)

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