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
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8BEXP
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