Consider the following. A = 5 500 -1 -9 1 0 1 1 (a) Compute the characteristic polynomial of A. det(A - 11) = 22 + 32 +
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Consider the following. A = 5 500 -1 -9 1 0 1 1 (a) Compute the characteristic polynomial of A. det(A - 11) = 22 + 32 +
Consider the following. A = 5 500 -1 -9 1 0 1 1 (a) Compute the characteristic polynomial of A. det(A - 11) = 22 + 32 + 40 x (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 (smallest A-value) 10 12 = has eigenspace span lg = has eigenspace span (largest 2-value) It (c) Compute the algebraic and geometric multiplicity of each eigenvalue. 2, has algebraic multiplicity 1 and geometric multiplicity 1 1, has algebraic multiplicity 1 X and geometric multiplicity 1 13 has algebraic multiplicity 1 X and geometric multiplicity 1
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