Consider the following. 4 05 A = 6-16 5 04 (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.) 21 = has eigenspace span 12 = has eigenspace span - I t (smallest -value) 13 = has eigenspace span (largest A-value) (c) Compute the algebraic and geometric multiplicity of each eigenvalue. A₁ has algebraic multiplicity 12 has algebraic multiplicity 13 has algebraic multiplicity | and geometric multiplicity and geometric multiplicity and geometric multiplicity
Consider the following. 4 05 A = 6-16 5 04 (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.) 21 = has eigenspace span 12 = has eigenspace span - I t (smallest -value) 13 = has eigenspace span (largest A-value) (c) Compute the algebraic and geometric multiplicity of each eigenvalue. A₁ has algebraic multiplicity 12 has algebraic multiplicity 13 has algebraic multiplicity | and geometric multiplicity and geometric multiplicity and geometric multiplicity
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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