assigned today:

Due today:

- standard-Diagonalization:
I can diagonalize a matrix and show and explain its usefulness.

- any of the problems from 8.4.17-23.
- 8.4.14. Also find the matrix raised to the 10th power.
- hint: there's a connection to the diagonalized version to raised to the 10th power.

- Show how diagonalization helps understand example 4 on page 332.

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.

- types of matrices
- symmetric
- orthogonal
- Hermitian
- unitary

- benefits of diagonalization
- powers
- no cross terms

- how to diagonalize
- prove that eigenvectors and eigen values are useful

- quiz on 2x2 (eigenvectors, values, how to hunt for them graphically)
- Markov problem raised to the 10th power
- ugh for 3x3

- Diagonalization
- didn't prove theorem 4 but we used it

- talked about ellipses
- talked about diff eqs (see resources)