Opening the paper…
Find the dimension of the span of the vectors , , in .
Find the dimension of the span of the vectors $(-2, -2, 0)$, $(0, -2, 0)$, $(-2, -4, 0)$ in $\mathbb R^3$. Find the dimension of the span of the vectors $(3, 1, 2, 1)$, $(2, -2, 2, 0)$, $(2, 1, 2, 3)$, $(2, 3, -1, -1)$ in $\mathbb R^4$. Find the dimension of the span of the vectors $(3, 2, -2)$, $(-1, 3, -1)$, $(2, -2, 0)$ in $\mathbb R^3$.