## Elementary Linear Algebra 7th Edition

$\left\{\mathbf{v}_{1}, \mathbf{v}_{2}\right\}$ form a basis for $R^2$.
From the figure, one can see that the set $\mathbf{v}_{1}=(0,1), \mathbf{v}_{2}=(-1,0)$. It is easy to see that $\left\{\mathbf{v}_{1}, \mathbf{v}_{2}\right\}$ are linearly independent and span $R^2$. Hence $\left\{\mathbf{v}_{1}, \mathbf{v}_{2}\right\}$ form a basis for $R^2$.