why are the eigenvectors in a square matrix which is diagonalised (only has numbers in the M_jj elements), just each column of the matrix? And why are the eigenvalues the actual number in each column.(adsbygoogle = window.adsbygoogle || []).push({});

I can understand if its diagonal, the matrix consists of linearly indepednent therefore orthogal vectors. Are these necessarily the eigenvectors of the matrix?

Many thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Eigenvalues/vector question

**Physics Forums | Science Articles, Homework Help, Discussion**