Consider the following. 5 50 0 A- 0 11 (a) Compute the characteristic polynomial of A. det(A-1)= (b) Compute the eigenvalues and bases of the corresponding eigenspaces of A. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) 2 = has eigenspace span 22' has eigenspace span 23 has eigenspace span (c) Compute the algebraic and geometric multiplicity of each eigenvalue. 2, has algebraic multiplicity 2 has algebraic multiplicity A has algebraic multiplicity and geometric multiplicity and geometric multiplicity and geometric multiplicity (smallest A-value) (largest A-value)