##### Exercise4

Suppose that $$A$$ is a matrix with eigenvectors $$\vvec_1$$ and $$\vvec_2$$ and eigenvalues $$\lambda_1 = -1$$ and $$\lambda_2=2$$ as shown.

Sketch the vectors $$A\xvec\text{,}$$ $$A^2\xvec\text{,}$$ and $$A^{-1}\xvec\text{.}$$

in-context