15 short videos in the Essence of linear algebra series by 3Blue1Brown on YouTube. First video is Vectors, what even are they?
Here is a simplified PCA code that we used on 6 March 2020: pca_code_part1.R (here’s the original code pca_code.R)
Here is code from Bryan Shader that illustrates how R does PCA: SVAPCA2.R
… and an announcement … for the time-being we’re going to suspend our meetings due to the anticipated spread of COVID19. So there will be no meeting on 13 March 2020, nor during spring break (20 March). We will see from there and maybe we’ll get together via Zoom or something else thereafter.
Let’s follow up on this thread on Twitter, posted by a population genomicist at Ancestry.com
Linear algebra resources and links of interest
Online courses
Khan Academy: Linear Algebra
Not really a stand alone linear algebra class (more as a supplement), but contains lots of good information.
Open Courseware: Linear Algebra
MIT’s introductory linear algebra course.
Open Courseware: Matrix Methods i n Data Analysis, Signal Processing, and Machine Learning
The follow-on course to the introduction linear algebra class. Matrix methods expands on the fundamental concepts discussed and introduces some additional ideas that are also very useful, such as positive-definite matrices, singular value decomposition, etc.
edx.org: Linear Algebra Courses
Free (or paid, if you want a certificate), self-paced linear algebra courses from a number of institutions.
Videos highlighting applications of linear algebra
In addition to the 3Blue1Brown series, there are other videos and series out there that may be useful in illustrating the applications of linear algebra. Below are a couple of examples.