Considere T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{3}, tal que [T]_{\beta}^{\alpha}=\left(\begin{array}{ccc}1 & 0 & 0 \\\\ 2 & 1 & -1 \\\\ 0 & 0 & -1\end{array}\right), onde \alpha=\{(1,0,1),(0,1,1),(0,0,2)\} e \beta=\{(1,0,0),(0,-1,1),(1,0,2)\}. Determine as coordenadas, em relação à base \beta, dos vetores a seguir. v=(1,7,11)
Passo 1
Queremos achar as coordenadas de v=(1,7,11) na base \beta=\{\,b_{1},b_{2},b_{3}\}, onde