To construct a 3×3 symmetric matrix that has the given eigenvalue-vector pairs: 1. Eigenvalue 5 with eigenvector 1 2. Eigenvalue -2 with eigenvector 3. Eigenvalue 2 with eigenvector 1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 15E
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To construct a 3×3 symmetric matrix that has the given eigenvalue-vector pairs:
1. Eigenvalue 5 with eigenvector 1
2. Eigenvalue -2 with eigenvector
3. Eigenvalue 2 with eigenvector
1
Transcribed Image Text:To construct a 3×3 symmetric matrix that has the given eigenvalue-vector pairs: 1. Eigenvalue 5 with eigenvector 1 2. Eigenvalue -2 with eigenvector 3. Eigenvalue 2 with eigenvector 1
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