## Questions

1. You are given that $$-1$$ is an eigenvalue of $$\begin{bmatrix} -3 & 4 \\ -1 & 1\end{bmatrix}$$. What is the algebraic multiplicity of this eigenvalue?

2. The matrix $$\begin{bmatrix} 2 & 1 & 0\\ 0 & 2 & 1 \\ 0 & 0 & 2\end{bmatrix}$$ has a unique eigenvalue. What is the geometric multiplicity of this eigenvalue?