Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 38EQ
Related questions
Question
How do you determine which value will become λ₁ vs λ₂? Why isn’t λ₁ = 2 and λ₂ = 4 in this example?
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So when constructing a matrix using the eigenvectors, the order of the eigenvectors doesn't matter?
In the example they get P = ( [1, -1] , [ 1, 1]), because they put the eigenvector of eigenvalue 4 first and eigenvector of eigenvalue 2 second.
How would I know to take eigen value 4 first and not second to calculate eigenvectors?
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