October 3, 2024

Topics

1. Basic definitions.
2. Matrix operations.
3. What is matrix multiplication.
4. Column space
5. Row space.
6. Rank.
7. Linear maps.
8. Null space.

Homework

Five ways to think about matrix multiplication (up to 21:15)

Lecture Notes

Lecture Notes

Exercises

Exercises

Supplementary Content

1. The column space of a matrix (13:59)
2. Linear transformations and matrices (10:58)
3. Matrix multiplication as composition (10:03)
4. Three-dimensional linear transformations (4:45)