How do we interpret the determinant intuitively? Well, here is one way!
This video was requested by Thecalculatorman on reddit!
A few quick notes:
* There are limitations to this way of thinking about the determinant, but for the most part it's solid for 3 and 2D objects.
* Finding the area of the transformed unit cube is the same as finding the area of the parallelpiped, just a little easier to explain. In hindsight, I should have added this definition too.
* There is a lot I skipped over, like how to perform the determinant. That wasn't the point of this video. I wanted to give people an intuitive feel for what the determinant was doing underneath.
As always, the simulations were done live on:
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And the music is from Josh Woodward (sped up 1.5 times):
Thanks for watching!