Suppose T: \mathbb{R}^2 \to \mathbb{R}^2 is the linear transformation defined in the figure below.
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?

domain | codomain |

If \mathbf{v_1} and \mathbf{v_2} are eigenvectors for T , find their corresponding eigenvalues. If not, enter DNE. help (numbers)

T(\mathbf{v_1}) = \mathbf{v_1} T(\mathbf{v_2}) = \mathbf{v_2}

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