Uploaded March 2019 | Updated September 2026, 2 weeks ago

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In this video, I continue the discussion on tensor operations by defining the contraction, inner product, and outer product. I provide some short examples of each of these operations, which will hopefully solidify your understanding of how these operations work.

Questions/requests? Let me know in the comments!

Pre-reqs: The previous videos in the playlist - youtube.com/playlist?list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_
Lecture Notes: drive.google.com/open?id=1PUSPfoI7g8lcU0-Gzcxi9n9pBdMXjjKY
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EDIT: At 8:35, when I write the components of a, I meant to use superscripts instead of subscripts! a is a contravariant tensor, so superscripts are the way to go!