Part 2: Finding Eigenvalues and Eigenvectors: http://www.youtube.com/watch?v=IdsV0R... Introduction to Eigenvalues and Eigenvectors - Part 1. Here I give the definition of an eigenvalue and an eigenvector. I then show a quick example illustrating the definition. Lastly, I show a quick proof that if we have an eigenvector then any multiple of that vector is also an eigenvector. Nothing crazy difficult here!