Find the (real) eigenvalues and associated eigenvectors of the given matrix A. Find a basis of each eigenspace of dimension 2 or larger. 12 - 8 9 - 5 The eigenvalue(s) is/are (Use a comma to separate answers as needed.) The eigenvector(s) is/are ☐ . (Use a comma to separate vectors as needed.) Find a basis of each eigenspace of dimension 2 or larger. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. ○ A. Exactly one of the eigenspaces has dimension 2 or larger. The eigenspace associated with the eigenvalue λ = (Use a comma to separate vectors as needed.) has basis { } . B. Exactly two of the eigenspaces have dimension 2 or larger. The eigenspace associated with the smaller eigenvalue λ = has basis { associated with the larger eigenvalue = has basis ( )} . (Use a comma to separate vectors as needed.) C. None of the eigenspaces have dimension 2 or larger. and the eigenspace
Find the (real) eigenvalues and associated eigenvectors of the given matrix A. Find a basis of each eigenspace of dimension 2 or larger. 12 - 8 9 - 5 The eigenvalue(s) is/are (Use a comma to separate answers as needed.) The eigenvector(s) is/are ☐ . (Use a comma to separate vectors as needed.) Find a basis of each eigenspace of dimension 2 or larger. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. ○ A. Exactly one of the eigenspaces has dimension 2 or larger. The eigenspace associated with the eigenvalue λ = (Use a comma to separate vectors as needed.) has basis { } . B. Exactly two of the eigenspaces have dimension 2 or larger. The eigenspace associated with the smaller eigenvalue λ = has basis { associated with the larger eigenvalue = has basis ( )} . (Use a comma to separate vectors as needed.) C. None of the eigenspaces have dimension 2 or larger. and the eigenspace
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 41EQ
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