5 Answered Questions for the topic eigenvalues eigenvectors

Eigenvalues Eigenvectors Linear Algebra Polynomials Matrices

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... more
Follows • 2
Expert Answers •2
Eigenvalues Eigenvectors Linear Algebra Matrices Abstract Algebra

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... more
Follows • 1
Expert Answers •1
Eigenvalues Eigenvectors Linear Algebra Matrices

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... more
Follows • 1
Expert Answers •1
Eigenvalues Eigenvectors Linear Algebra Matrices

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.... more
Follows • 2
Expert Answers •1
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?
Follows • 1
Expert Answers •1

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.