For square matrices \(A\) and \(B\). True or False? If False, you should come up with a counterexample. If True, can you give a proof?

1.
If \(\lambda \) is an eigenvalue of \(A\), then \(-\lambda \) is an eigenvalue of \(A^{-1}\).
True False
2.
If \(\lambda \) is an eigenvalue of \(A\), then \(\lambda - c\) is an eigenvalue of \(A - cI\).
True False
3.
If \(\lambda \) is an eigenvalue of \(A\), then \(2\lambda \) is an eigenvalue of \(2A\).
True False