###### Exercise 1

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

What are the eigenvalues of \(A^{-1}\text{?}\)

What are the eigenvalues of \(A+7I\text{?}\)

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

What are the eigenvalues of \(A^{-1}\text{?}\)

What are the eigenvalues of \(A+7I\text{?}\)