Difference between revisions of "QRDecomposition Command"
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;QRDecomposition( <Matrix> ) | ;QRDecomposition( <Matrix> ) | ||
:Calculates the [[w:QR_decomposition|QR decomposition]] of the given matrix. | :Calculates the [[w:QR_decomposition|QR decomposition]] of the given matrix. | ||
| − | :{{example|1=<code><nowiki>QRDecomposition({{1,2},{3,4}})</nowiki></code> | + | :{{example|1=<code><nowiki>QRDecomposition({{1,2},{3,4}})</nowiki></code> returns the matrices <math>\begin{pmatrix}1/\sqrt{10}&3/5/\sqrt{10}/5\\3/\sqrt{10}&1/5/\sqrt{10}/5\end{pmatrix}</math> and <math>\begin{pmatrix}\sqrt{10}&7/5\sqrt{10}\\0&\sqrt{10}/5\end{pmatrix}</math>.}} |
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{{note|1=See also [[LUDecomposition_Command|LUDecomposition]] command.}} | {{note|1=See also [[LUDecomposition_Command|LUDecomposition]] command.}} | ||
Latest revision as of 15:28, 2 May 2023
CAS Syntax
- QRDecomposition( <Matrix> )
- Calculates the QR decomposition of the given matrix.
- Example:
QRDecomposition({{1,2},{3,4}})returns the matrices \begin{pmatrix}1/\sqrt{10}&3/5/\sqrt{10}/5\\3/\sqrt{10}&1/5/\sqrt{10}/5\end{pmatrix} and \begin{pmatrix}\sqrt{10}&7/5\sqrt{10}\\0&\sqrt{10}/5\end{pmatrix}.
Note: See also LUDecomposition command.
