Kunnskapsgnist
Når vi multipliserer en matrise med en skalar, multipliseres hvert element i matrisen med skalaren:
$$\textcolor{red}{k} \left( \begin{array}{cccc} a_{11} & a_{12} & \cdots & a_{1n} \\ a_{21} & a_{22} & \cdots & a_{2n} \\ \vdots & \vdots & & \vdots \\ a_{m1} & a_{m2} & \cdots & a_{mn} \end{array} \right) = \left( \begin{array}{cc} \textcolor{red}{k} a_{11} & \textcolor{red}{k} a_{12} & \cdots & \textcolor{red}{k} a_{1n} \\ \textcolor{red}{k} a_{21} & \textcolor{red}{k} a_{22} & \cdots & \textcolor{red}{k} a_{2n} \\ \vdots & \vdots & & \vdots \\ \textcolor{red}{k} a_{m1} & \textcolor{red}{k} a_{m2} & \cdots & \textcolor{red}{k} a_{mn} \end{array} \right) $$@ 2025 Kunnskapsgnist (lisensvilkår)
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