MATH 155 - Lecture 6: Eigenvalues and eigenvectors

Outline:
1. How can we understand y = (A^n)x for large n, where x and y are vectors?
2. What are eigenvalues and eigenvectors?
3. How do we calculate eigenvalues and eigenvectors for 2 × 2 matrices?

[annikaj]

For finding the eigenvector using the -1 eigenvalue, I got a 2x1 matrix with -3 and 2. I'm pretty sure my answer is correct because I took the characteristic equation and the eigenvector and my product was a matrix with only 0s