Suppose $T: \mathbb{R}^2 \to \mathbb{R}^2$ is a linear transformation. The figure shows where $T$ maps vectors $\mathbf{v_1}$ and $\mathbf{v_2}$ from the domain. With this limited information about $T$, what properties of $T$ can be determined?

		$\Large \displaystyle \mathop{\to}^T$
domain				codomain