assigned today:

Due today:

- standard-matrices and gaussian elimination:
I can manipulate matrices and solve systems of linear equations.

- 7.2.28
- Explain figure 158
- 7.3.17

Due today:

- What are linear transformations?
- graphics

- operations
- add, scalar multiply, matrix multiply

- If you know the transformation and one result, how do you find the original?
- Gaussian elimination

- Quiz on \(\sin5\theta\)
- they asked for Pascal's triangle so I kept writing until they told me to stop so that I wasn't immediately clear which row to use

- Asked them to write the formula for a transformation that takes an ordered pair and returns an ordered pair
- very similar to complex mapping we did a week ago

- Talked about the limitation to linear transformations (x and y to the first power only and no constants)
- talked about how a matrix is shorthand for the transformation

- Asked what a grid of points would do after a transformation
- then did it in MMA along with watching a random shape
- asked if the shape every inverted or if it just rotated (along with being smushed).

- Talked about multiplying by a scalar, adding two transformations, and multiplying two transformations
- Asked them to do 2 2x2 transforms in a row to prove matrix multiplication
- many just did matrix multiplication :)

- quickly discussed Gaussian elimination