QRDecomposition Command

CAS Syntax

QRDecomposition( <Matrix> ): Calculates the QR decomposition of the given matrix.

QRDecomposition({{1,2},{3,4}}) returns the matrices $\begin{pmatrix}\frac{1}{\sqrt{10}}&\frac{3/5}{\sqrt{10}/5}\\\frac{3}{\sqrt{10}}&-\frac{1/5}{\sqrt{10}/5}\end{pmatrix}$ and $\begin{pmatrix}\sqrt{10}&7/5\sqrt{10}\\0&\sqrt{10}/5\end{pmatrix}$ .