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2021/01/20/eigenvalues-and-eigenvectors-explained #8

Open utterances-bot opened 2 years ago

utterances-bot commented 2 years ago

Linear transformations, Eigenvectors and Eigenvalues - an easy explanation | andreinc

A short mathematical explanatory article on Linear Transformations, Eigenvalues and Eigenvectors.

https://www.andreinc.net/2021/01/20/eigenvalues-and-eigenvectors-explained

ClecioJung commented 2 years ago

First, thnks for the excelent tutorial. But, I have one doubt: How can we make an algorithm to solve for the eigenvectors, if the linear system (A - lambda*I) = 0 is underdetermined?

cs0rfecs0rfe commented 7 months ago

An excellent, clear explanation - Just what I needed to know. Thanks.

shearsl commented 3 weeks ago

Thank you for the excellent article. This is just the refresher that I needed. I found a mistake about halfway through the article where you have the example with the 2 by 2 matrix A with first row 3 1 and second row 1 2. When you multiplied this matrix by u + v, there is an error in the second row of the result: (u2 + v2) + 2(u2 + v2) should be (u1 + v1) + 2(u2 + v2). Also, the final result of that block of text would be more satisfying if it were *Au + Av* instead of applying the commutative property to make it the other way around.