5 Answered Questions for the topic eigenvalues eigenvectors
05/22/19
Minimal polynomials and characteristic polynomials?
I am trying to understand the similarities and differences between the minimal polynomial and characteristic polynomial of Matrices.
1. When are the minimal polynomial and characteristic...
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05/02/19
Must eigenvalues be numbers?
This is more a conceptual question than any other kind. As far as I know, one can define matrices over arbitrary fields, and so do linear algebra in different settings than in the typical...
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04/20/19
orthogonal eigenvectors?
I have a very simple question that can be stated without proof. Are all eigenvectors, of any matrix, always orthogonal? I am trying to understand Principal components and it is cruucial for me to...
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04/12/19
Do all square matrices have eigenvectors?
I came across a video lecture in which the professor stated that there may or may not be any eigenvectors for a given linear transformation. And, so far I thought every matrix has eigenvectors....
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Eigenvalues Eigenvectors Linear Algebra
03/27/19
How to prove that eigenvectors from different eigenvalues are linearly independent?
How can I prove that if I have $n$ eigenvectors from different eigenvalues, they are all linearly independent?
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