Note: This is an archival, mostly functional site. All courses can be found here.

### Course instructions and tweets

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• 2016/12/19: Game Over

Thanks for playing.

Free free to return often for re-injections of Matrixology happiness.

• 2016/12/09: It's all happening out there

The Final Boss Level is the last thing standing between you and happiness. Well, it is happiness in itself. Next Thursday, December 15, 1:30 pm. Two hours and forty five minutes to experience the joy of Matrixology.

Office hours before the exam: 1:30 pm to 4:00 pm on Tuesday, December 13.

Please note that seating arrangements may be adjusted for the final exam to increase spacing.

• 2016/11/17: Enjoy Thanksgiving

1. Just don't talk about matrixology too much. It can be hard to keep the excitement under control.
2. The fantasticness of Singular Value Decomposition is next.
3. For some reason, the fashion of Scotland will be essential to everything.

• 2016/11/14: Q*bert and Challenge Level 3

1. Office hours will be normal again: 9 am to 11:59 am on Wednesday.

2. Level Q*bert is due Thursday, November 17 at the start of class.

3. The third Challenge Level will take place in class on Thursday, November 17.

4. A practice Challenge Level with solutions is available on the Challenge Level page.

5. This is the last week before the blessed release of Thanksgiving.

6. South Africa are destroying Australia in the cricket.

• 2016/11/07: Eigenthings and Diagonalization

Slide sets and videos to consume:

Start here:
http://www.uvm.edu/pdodds/teaching/courses/matrixology/slides/19a/
http://www.uvm.edu/pdodds/teaching/courses/matrixology/episodes/19a/

For Monday, November 7
19a: Sneaky Monk Tricks for Eigenstuff
20a: Reaffirming the happiness diagonal matrices bring
20b: Diagonalization is just the best
20c: Finding Fibonacci numbers

For Wednesday November 9
21a: The gentle art of changing basis
22a: Symmetry, the Spectral Theorem, and More Happiness
22b: Why the Spectral Theorem works
22c: A charming property of the Trace

More things to know:

1. No class next Thursday, November 10.

2. For the week starting November 7, office hours will be 1:30 pm to 2:30 pm on Tuesday and 10:00 am to 11:59 am on Friday.

3. The next level is Pitfall! and is due Friday, November 11 at 11:59 am.

3. Q*bert is now available and is due Thursday, November 17 at the start of class.

4. The third Challenge Level will take place in class on Thursday, November 17.

1. No class next Thursday, November 10. Your deliverator is away. Online videos and slides will be posted soon.

2. The next level is Pitfall! and is due Friday, November 11 at 11:59 am.

3. Office hours will be 1:30 pm to 2:30 pm on Tuesday and 10:00 am to 11:59 am on Friday.

• 2016/10/10: Row space, Left Nullspace, the Fundamental Theorem of Matrixology, Projections, and the Normal Equation:

We complete the set of four fundamental subspaces:

12a. "It came from Row Space!" (10/10)
13a. The Known Unknowns of Left Nullspace (10/10)
13b. The Big Picture + Fundamental Theorem of Matrixology (10/10)

Make sense of everything with an in-depth examination of how everything works for one 2x2 matrix (long):

14a. The Big Picture for the Man in Black (10/10)

Follow this up with one page pieces (short):
14b. The Big Picture for Inigo (10/12)
14c. The Big Picture for Fezzik (10/12)

A table you should understand:
14d. The Big Picture for the four basic kinds of Reduced Row Echelon Form, $\mathbf{R}_{\mathbf{A}}$ (10/12)

Everything comes together for the middle section of the course
with Projections and the Normal Equation:
15a. You know you're projecting, right? (10/12)
15b. The Amazing Normal Equation (10/12)
15c. Let's fit a line using the Normal Equation goodness (10/12)

15d. Finding the best approximate solution for Westley (10/17)
15e. The elation of projecting a vector onto a subspace (10/17)

http://www.uvm.edu/pdodds/teaching/courses/2016-08UVM-122/episodes/

• Reminder: Pac-Man is due Thursday, October 13
• Galaga Donkey Kong is now available and will be due Thursday, October 20
• Continue to be prepared for mini-levels at the end of each class
• The second Challenge Level will be held on Thursday, October 20

• 2016/10/01: More of the Big Picture

We keep building our Big Picture for $\mathbf{A}\vec{x} = \vec{b}$. The next five pieces with consume-by-date:

10a. Becoming a Reduced Row Echelon Form Whisperer (10/03)
11a. Why Column Space and Nullspace are subspaces (10/05)
11b. All your bases are belong to us (10/05)
11c. Why the dimension of $\mathbf{A}$'s Column Space = the rank of $\mathbf{A}$ (10/05)
11d. Why the dimension of $\mathbf{A}$'s Nullspace = $n - r$ (10/05)

http://www.uvm.edu/pdodds/teaching/courses/2016-08UVM-122/episodes/

• Reminder: Asteroids is due Thursday, October 6
• Continue to be prepared for mini-levels at the end of each class