ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Wed, 15 Apr 2015 19:10:29 +0200Orthonormal basis consisting of eigenvectors of a matrixhttps://ask.sagemath.org/question/26525/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.Tue, 14 Apr 2015 11:21:01 +0200https://ask.sagemath.org/question/26525/orthonormal-basis-consisting-of-eigenvectors-of-a-matrix/Comment by Uday Bhaskar for <p>How to find an orthonormal basis consisting of eigenvectors of a matrix. We assume that the matrix is over reals.</p>
https://ask.sagemath.org/question/26525/orthonormal-basis-consisting-of-eigenvectors-of-a-matrix/?comment=26527#post-id-26527For example, a unitary matrix over the field of reals.Tue, 14 Apr 2015 12:02:02 +0200https://ask.sagemath.org/question/26525/orthonormal-basis-consisting-of-eigenvectors-of-a-matrix/?comment=26527#post-id-26527Comment by vdelecroix for <p>How to find an orthonormal basis consisting of eigenvectors of a matrix. We assume that the matrix is over reals.</p>
https://ask.sagemath.org/question/26525/orthonormal-basis-consisting-of-eigenvectors-of-a-matrix/?comment=26526#post-id-26526The eigenvectors of a matrix do not necessarily form an orthonormal basis. Could you precise your question?Tue, 14 Apr 2015 11:41:51 +0200https://ask.sagemath.org/question/26525/orthonormal-basis-consisting-of-eigenvectors-of-a-matrix/?comment=26526#post-id-26526Comment by John Palmieri for <p>How to find an orthonormal basis consisting of eigenvectors of a matrix. We assume that the matrix is over reals.</p>
https://ask.sagemath.org/question/26525/orthonormal-basis-consisting-of-eigenvectors-of-a-matrix/?comment=26538#post-id-26538If `m` is a matrix, then `m.eigenvectors_left()` gives its eigenvectors. That should suffice, right?Wed, 15 Apr 2015 19:10:29 +0200https://ask.sagemath.org/question/26525/orthonormal-basis-consisting-of-eigenvectors-of-a-matrix/?comment=26538#post-id-26538