In this short video, I go over some very basic concepts in linear algebra that will be relevant to tensors later on in the series. These include Linear Transformations and General Transformations. I finish the video with the Chain Rule for Partial Derivatives (which will also come in handy in the future) expressed in terms of Einstein Notation.

My lecture series on Tensors assumed knowledge of Linear Algebra, so this should be a fairly elementary review for most people. Nonetheless, in my effort to be as self-contained as possible, I made this ‘detour’ video just in case people needed it. In any case, we have the foundation necessary to tackle the actual Mathematics of Tensors, starting from the next video in the series.

Questions/requests? Let me know in the comments!

Pre-reqs: The previous videos in the playlist – https://www.youtube.com/playlist?list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_

Lecture Notes: https://drive.google.com/open?id=1ZWnssKy7wghon0UHOzzNOtsncYRj4KsR

Patreon: https://www.patreon.com/user?u=4354534

Twitter: https://twitter.com/FacultyOfKhan

Special thanks to my Patrons for supporting me at the $5 level or higher:

– James Mark Wilson

– Cesar Garza

– Jacob Soares

– Yenyo Pal

– Lisa Bouchard

– Bernardo Marques

– Connor Mooneyhan

– Richard McNair

– Guillaume Chereau

– Patapom

– Elm Mara

– Vitor Ciaramella

– McKay Oyler

– Dieter Walter Reule