Consider the following. (a) Compute the characteristic polynomial of A. det (4-1)--(2-2)(2+1)(2-2) A₁ = A = (b) Compute the eigenvalues and bases of the corresponding eigenspaces of A. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) 2₂ = A₂ = x has eigenspace span (1 has eigenspace span has eigenspace span (smallest λ-value) (1)- (largest A-value)

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Q: Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 %3D 13, х1 %3…

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