Esercizio 3.41 Consideriamo i sottospazi
$$
\begin{aligned}
& V=\operatorname{Span}\left((1,-1,2,0)^{\top},(1,1,1,0)^{\top},(1,3,0,0)^{\mathrm{T}},(-1,-1,0,0)^{\mathrm{T}}\right) \\
& W=\left\{\left(\begin{array}{l}
x_1 \\
x_2 \\
x_3 \\
x_4
\end{array}\right): x_1-x_2=0,-x_1+2 x_2=0\right\}
\end{aligned}
$$
i) Calcolare $V+W$, $\operatorname{dim}(V+W)$.
ii.) Calcolare $\operatorname{dim} V, \operatorname{dim} W, \operatorname{dim} V \oplus W$.
Esercizio geometria 1