Learning Objectives


In the Asynchronous Lecture


In the Synchronous Lecture


If you have any questions while watching the pre-recorded material, be sure to write them down and to bring them up during the synchronous portion of the lecture.




Synchronous Materials





Asynchronous Materials


The following tabs contain pre-recorded lecture materials for class this week. Please review these materials prior to the synchronous lecture.

Total time: Approx. 1 hour and 17 minutes.


This week I’ll draw from videos produced by Grant Sanderson. These videos will help give you a visual intuition of key concepts in linear algebra. I’ve pulled a few of these videos, but I encourage you to also watch the ones I didn’t flag.

Are you already a master of linear algebra? Awesome! Feel free to ignore the asynchronous materials this week. That said, if you haven’t seen a visual presentation of these concepts before, I’d encourage you to watch the videos. Doing so will only deepen your understanding.


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Vectors





Linear combinations & Span

Supplementary Notebook

The following notebook walks through some of the applications covered in the video outlining the math in greater detail and using numpy for the linear algebra manipulations

manipulating-vectors.ipynb



Linear Transformations and Matrices

Supplementary Notebook

The following notebook walks through some of the applications covered in the video outlining the math in greater detail and using numpy for the linear algebra manipulations.

matrices-as-transformations.ipynb



Matrix Multiplication

Supplementary Notebook

The following notebook walks through some of the applications covered in the video outlining the math in greater detail and using numpy for the linear algebra manipulations. (This is the same notebook as downloaded in the last tab.)

matrices-as-transformations.ipynb



The Determinant




Inverse Matrices

Supplementary Notebook

The following notebook walks through some of the applications covered in the video outlining the math in greater detail and using numpy for the linear algebra manipulations.

inverting-matrices.ipynb



Dot Products




 

The following materials were generated for students enrolled in PPOL564. Please do not distribute without permission.

ed769@georgetown.edu | www.ericdunford.com