###### Exercise1

Suppose that $$A$$ is a matrix having eigenvalues $$-3\text{,}$$ $$-0.2\text{,}$$ $$1\text{,}$$ and $$4\text{.}$$

1. What are the eigenvalues of $$A^{-1}\text{?}$$

2. What are the eigenvalues of $$A+7I\text{?}$$

in-context