Quiz: Linear Mappings

Question 1

1 point

Find the standard matrix of a linear mapping $\mathit{L}\phantom{\rule{5px}{0ex}}:\phantom{\rule{5px}{0ex}}{\mathit{R}}^{2}\phantom{\rule{5px}{0ex}}\to {\mathit{R}}^{2}\phantom{\rule{3pt}{0ex}}$ where $\mathit{L}\phantom{\rule{5px}{0ex}}\left({\mathit{x}}_{1},\phantom{\rule{5px}{0ex}}{\mathit{x}}_{2}\right)=\left({-x}_{1}+{x}_{2},{-3x}_{1}+{x}_{2}\right)\phantom{\rule{5px}{0ex}}\phantom{\rule{5px}{0ex}}\phantom{\rule{3pt}{0ex}}$.

 $\left[\phantom{\rule{0ex}{7ex}}\phantom{\rule{3pt}{0ex}}$ $\right]\phantom{\rule{0ex}{7ex}}\phantom{\rule{3pt}{0ex}}$