I see you've uploaded an image containing mathematical tasks related to finding eigenvalues and eigenvectors, as well as determining bases for eigenspaces. I will analyze and solve these problems for you.

Would you like me to begin with:

1. Solving the first example problem explicitly?
2. Explaining the process step by step for any matrix?
3. Providing solutions to one of the exercises from "Tugas 8"?

Let me know where you'd like to start!