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14 0 15 O 14 0 O 14 The matrix A has one real eigenvalue. Find this eigenvalue and a basis eigenspace. The eigenvalue is A basis for the eigenspace is { }

14 0 15 O 14 0 O 14 The matrix A has one real eigenvalue. Find this eigenvalue and a basis eigenspace. The eigenvalue is A basis for the eigenspace is { }

Advanced Engineering Mathematics
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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14 0 15 O 14 0 O 14 The matrix A has one real eigenvalue. Find this eigenvalue and a basis eigenspace. The eigenvalue is A basis for the eigenspace is { }
Transcribed Image Text:14 0 15 O 14 0 O 14 The matrix A has one real eigenvalue. Find this eigenvalue and a basis eigenspace. The eigenvalue is A basis for the eigenspace is { }
The matrix 5. -1 - 30 0 0 A has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue 1 of multiplicity 1 is and a basis for its eigenspace is { }. The eigenvalue A2 of multiplicity 2 is and a basis for its eigenspace is { }.
Transcribed Image Text:The matrix 5. -1 - 30 0 0 A has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue 1 of multiplicity 1 is and a basis for its eigenspace is { }. The eigenvalue A2 of multiplicity 2 is and a basis for its eigenspace is { }.
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