# Orthonormal basis consisting of eigenvectors of a matrix

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

Orthonormal basis consisting of eigenvectors of a matrix

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

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Asked: ** 2015-04-14 11:21:01 +0200 **

Seen: **1,065 times**

Last updated: **Apr 14 '15**

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

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

If

`m`

is a matrix, then`m.eigenvectors_left()`

gives its eigenvectors. That should suffice, right?