Three-dimensional linear transformations | Essence of linear algebra, footnote

What do 3d linear transformations look like? Having talked about the relationship between matrices and transformations in the last two videos, this one extends ...

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[classical music] "Lisa: Well, where's my dad? Frink: Well, it should be obvious to even the most dimwitted individual who holds an advanced degree in hyperbolic topology that Homer Simpson has stumbled into ... (dramatic pause) ... the third dimension." Hey folks I've got a relatively quick video for you today, just sort of a footnote between chapters. In the last two videos I talked about linear transformations and matrices, but, I only showed the specific case of transformations that take two-dimensional vectors to other two-dimensional vectors. In general throughout the series we'll work mainly in two dimensions. Mostly because it's easier to actually see on the screen and wrap your mind around, but, more importantly than that once you get all the cor...
Three-dimensional linear transformations | Essence of linear algebra, footnote
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