Orthonormal Basis from QR Decomposition

06062020, 03:39 PM
(This post was last modified: 06062020 04:24 PM by victorvbc.)
Post: #1




Orthonormal Basis from QR Decomposition
Hello everyone,
I'd like to ask for some help with a problem. I want to get an orthonormal basis from the matrix [[1,1,1],[3,1,1],[1,1,3]], which has one linearly dependent column, so I use the QR decomposition to factor the matrix into orthogonal and upper trapezoidal parts. This results in the following Q and R matrices: Unfortunately the Q matrix is singular, so I can't really use it. I know a decomposition with a complete orthogonal matrix is possible, from matlab: So, is there a way I can get this to work on the Prime? Edit: I've found a solution, It works if I use the uppercase QR() function. Thanks, Victor. 

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