##### Exercise5

For the following matrices, find the eigenvectors and associated eigenvalues by thinking geometrically about the corresponding matrix transformation.

1. $$\left[\begin{array}{rr} 3 \amp 0 \\ 0 \amp 3 \\ \end{array}\right] \text{.}$$

2. $$\left[\begin{array}{rr} -2 \amp 0 \\ 0 \amp 4 \\ \end{array}\right] \text{.}$$

3. What are the eigenvectors and associated eigenvalues of the identity matrix?

4. What are the eigenvectors and associated eigenvalues of a diagonal matrix?

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