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Suppose $T: \mathbb{R}^2 \to \mathbb{R}^2$ is the linear transformation defined in the figure below. The figure shows where $T$ maps 8 vectors $\mathbf{v_1}, \ldots, \mathbf{v_{ 8 }}$ from the domain. With this limited information about $T$ , what properties of $T$ can be determined?

		$\Large \stackrel{T}{\to}$

domain				codomain

Part 1: Finding eigenvectors using geometry

Which of the eight vectors drawn in the domain are eigenvectors? Enter your answer as a comma separated list of vector names, such as v1,v2.

Eigenvectors:

Part 2: Finding eigenvalues using geometry

Part 3: Generalizing observations about eigenvectors to eigenspaces

You can earn partial credit on this problem.