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The matrix [-5 0 10 -201 A = 0 0 0 5 -5 0 10 -10 0 0 0 5 has two distinct real eigenvalues A₁ < A₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue A₁ is and a basis for its associated eigenspace is ▼ The larger eigenvalue X₂ is and a basis for its associated eigenspace is

The matrix [-5 0 10 -201 A = 0 0 0 5 -5 0 10 -10 0 0 0 5 has two distinct real eigenvalues A₁ < A₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue A₁ is and a basis for its associated eigenspace is ▼ The larger eigenvalue X₂ is and a basis for its associated eigenspace is

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.3: Symmetric Matrices And Orthogonal Diagonalization
Problem 58E
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The matrix -5 0 10 -201 0 0 0 5 A -5 0 10 -10 0 0 0 5 has two distinct real eigenvalues A₁ < A₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue A₁ is and a basis for its associated eigenspace is The larger eigenvalue λ2 is ID ID = ID → I- → ← -> - I- and a basis for its associated eigenspace is
Transcribed Image Text:The matrix -5 0 10 -201 0 0 0 5 A -5 0 10 -10 0 0 0 5 has two distinct real eigenvalues A₁ < A₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue A₁ is and a basis for its associated eigenspace is The larger eigenvalue λ2 is ID ID = ID → I- → ← -> - I- and a basis for its associated eigenspace is
The larger eigenvalue X2 is and a basis for its associated eigenspace is - ← FI - A I- - ID
Transcribed Image Text:The larger eigenvalue X2 is and a basis for its associated eigenspace is - ← FI - A I- - ID
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