Slask testovn
SamverkanLinalgLIU
(Skillnad mellan versioner)
| Rad 2: | Rad 2: | ||
<center><math> F(\boldsymbol{e}_1+\boldsymbol{e}_2)=2\boldsymbol{e}_1+\boldsymbol{e}_2,\qquad F(\boldsymbol{e}_2+\boldsymbol{e}_3)=-\boldsymbol{e}_1+2\boldsymbol{e}_2+\boldsymbol{e}_3,\qquad | <center><math> F(\boldsymbol{e}_1+\boldsymbol{e}_2)=2\boldsymbol{e}_1+\boldsymbol{e}_2,\qquad F(\boldsymbol{e}_2+\boldsymbol{e}_3)=-\boldsymbol{e}_1+2\boldsymbol{e}_2+\boldsymbol{e}_3,\qquad | ||
F(\boldsymbol{e}_1)=2\boldsymbol{e}_1+\boldsymbol{e}_2+5\boldsymbol{e}_3. </math></center> | F(\boldsymbol{e}_1)=2\boldsymbol{e}_1+\boldsymbol{e}_2+5\boldsymbol{e}_3. </math></center> | ||
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| + | Svar \begin{pmatrix}0&2&-3\\0&1&1\\-5&5&-4\end{pmatrix} | ||
Versionen från 6 november 2008 kl. 15.11
2. Bestäm matrisen till den linjära avbildningen \displaystyle F:{\bf R^3}\rightarrow{\bf R}^3 som i basen \displaystyle \underline{\boldsymbol{e}}=\{\boldsymbol{e}_1, \boldsymbol{e}_2,\boldsymbol{e}_3\} definieras genom
Svar \begin{pmatrix}0&2&-3\\0&1&1\\-5&5&-4\end{pmatrix}
