Orthonormal basis consisting of eigenvectors of a matrix

asked 2015-04-14 11:21:01 +0200

this post is marked as community wiki

This post is a wiki. Anyone with karma >750 is welcome to improve it.

How to find an orthonormal basis consisting of eigenvectors of a matrix. We assume that the matrix is over reals.

edit retag flag offensive close merge delete

Comments

The eigenvectors of a matrix do not necessarily form an orthonormal basis. Could you precise your question?

vdelecroix gravatar imagevdelecroix ( 2015-04-14 11:41:51 +0200 )edit

For example, a unitary matrix over the field of reals.

Uday Bhaskar gravatar imageUday Bhaskar ( 2015-04-14 12:02:02 +0200 )edit

If m is a matrix, then m.eigenvectors_left() gives its eigenvectors. That should suffice, right?

John Palmieri gravatar imageJohn Palmieri ( 2015-04-15 19:10:29 +0200 )edit