Orthonormal basis consisting of eigenvectors of a matrix

asked 2015-04-14 11:21:01 +0100

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

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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 +0100 )edit

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

Uday Bhaskar gravatar imageUday Bhaskar ( 2015-04-14 12:02:02 +0100 )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 +0100 )edit