Consider the following. 4 32 0 A = -1 -7 1 0 1 1 (a) Compute the characteristic polynomial of A. det(AAI) = 0 (b) Compute the eigenvalues and bases of the corresponding eigenspaces of A. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) 8 -1 λη = 0 × has eigenspace span (smallest -value) 1 ↑ 16 -3 12 = 0 has eigenspace span 1 ↑ 23 = has eigenspace span ↓ ↑ t (c) Compute the algebraic and geometric multiplicity of each eigenvalue. λ has algebraic multiplicity 2 12 has algebraic multiplicity 1 13 has algebraic multiplicity X and geometric multiplicity 1 X and geometric multiplicity 1 and geometric multiplicity 1 (largest-value)