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The matrix A = The larger eigenvalue 2₂ is -1 7 4 1 3 -1 5 -3 -1 2 -3 1 1 6 -4 has two distinct real eigenvalues λ₁ <^₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue ₁ is. and a basis for its associated eigenspace is (-) and a basis for its associated eigenspace is (EE))

The matrix A = The larger eigenvalue 2₂ is -1 7 4 1 3 -1 5 -3 -1 2 -3 1 1 6 -4 has two distinct real eigenvalues λ₁ <^₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue ₁ is. and a basis for its associated eigenspace is (-) and a basis for its associated eigenspace is (EE))

Linear Algebra: A Modern Introduction
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 24EQ
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The matrix 1 5 2 -3 1 6 has two distinct real eigenvalues 2₁ <^₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue ₁ is and a basis for its associated eigenspace is The larger eigenvalue 2₂ is A = 4 1 -1 -1 1 3 -3 and a basis for its associated eigenspace is
Transcribed Image Text:The matrix 1 5 2 -3 1 6 has two distinct real eigenvalues 2₁ <^₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue ₁ is and a basis for its associated eigenspace is The larger eigenvalue 2₂ is A = 4 1 -1 -1 1 3 -3 and a basis for its associated eigenspace is
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