Tags » Eigenvalues

Extracting Matrices from the Output of eigenvalues()

In class I sometimes need to use matrices of eigenvalues and eigenvectors, but the output of eigenvectors() isn’t particular helpful for that out of the box. 64 more words

A Spectral Analysis of Moore Graphs

For fixed integers , and odd , a Moore graph is an -regular graph of girth which has the minimum number of vertices among all such graphs with the same regularity and girth. 600 more words

Linear Algebra

The End 2016 Mathematics A To Z: Algebra

So let me start the End 2016 Mathematics A To Z with a word everybody figures they know. As will happen, everybody’s right and everybody’s wrong about that. 912 more words


Perth, week 4

And now the time in Adelaide and Perth is over. We are back in London, having arrived on the same day as we left Australia. This was the first time I have done this, and I really don’t recommend it. 540 more words


A First Course in Linear Algebra Textbook

How do you solve systems of linear equations? What kind of matrix operations are allowed? What is the difference between an eigenvalue and an eigenvector? What is a linear combination of vectors? 466 more words


Principal Component Analysis Tutorial

Recently I have been reading up on Principal Component Analysis (PCA).  PCA is essentially a compression technique, providing a means of representing larger or high dimensional data sets with less information.   1,592 more words


Solution to the Clebsch puzzle

Here is the solution to the puzzle about the Clebsch graph I posed at the weekend. Since Gordon and Tony (and probably others) have already solved it, I am giving you my solution now. 459 more words