QR-factorisatie van $$$\left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right]$$$

Bepaal de QR-decompositie van $$$\left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right]$$$.

Orthonormaliseer de verzameling vectoren die wordt gevormd door de kolommen van de gegeven matrix: $$$\left\{\left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]\right\}$$$ (voor de stappen, zie Gram-Schmidt calculator).

De kolommen van de matrix $$$Q$$$ zijn de georthonormaliseerde vectoren: $$$Q = \left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]$$$.

Bepaal de getransponeerde van de matrix: $$$Q^{T} = \left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]$$$ (voor de stappen, zie matrix transpose calculator).

Tot slot, $$$R = \left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]\left[\begin{array}{c}i a g h m n r s t^{2} e^{e i n o r s^{2}}\end{array}\right] = \left[\begin{array}{c}- \frac{a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{2} e^{2 e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]$$$ (voor de stappen, zie rekenmachine voor matrixvermenigvuldiging).

$$$Q = \left[\begin{array}{c}\frac{i a g h m n r s e^{e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]$$$A

$$$R = \left[\begin{array}{c}- \frac{a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{2} e^{2 e i n o r s^{2}}}{\left|{a g h m n r s}\right|}\end{array}\right]$$$A