assigned today:

Due today:

- standard-eigenvalues and eigenvectors:
I can describe, calculate, and use eigenvalues and eigenvectors.

- Find a 2x2 matrix with real eigenvectors and values. Show how to calculate them and demonstrate what they mean geometrically using the Mathematica code we developed in lab.
- Find the steady state for a 3-dimensional Markov problem. Tell the story as well.
- Replicate example 8.4 (on page 332) where the problem is horizontal with a third spring tied from the last mass to a new wall.

Due today:

- quiz: equation for a plane
- I gave some hints before the quiz started

- find a 2x2 markov matrix
- find an (x,y) that won't be changed
- some changed their matrix {{0.5,0.5},{0.5,0.5}} is easy, for example
- Tom started right away with eigenvector stuff

- talked about the homogeneous way of thinking about it (det(A-lambda I)) etc
- talked about how it'll be a polynomial of order equal to the dimension of the matrix
- solved for the Markov ones and always got 1 and something else
- talked about how to get the eigenvector by plugging back in

- didn't really have time to talk about the spring example