I was a little rusty on matrices (ie. had forgotten everything), since I hadn't used them for over 50 years, but this video brought it all back - absolutely superb. Although, having said that, inverting a matrix is easy nowadays - just type it into a scientific calculator (eg. HP48) and press 1/x. 🤣🤣🤣
I understand that matrices lend themselves to fast math in GPU's, but somehow I find them to be confusing, when trying to understand the underlying problems they are used to solve. I wonder if all the transposing, inversing and augmenting are self inflected necessities that don't exist outside of matrix world? There are so many rules and constraints, that they don't seem to be invented by the gods of math and logic. 😇
They become much less confusing when you grasp vectors and linear transforms. That's a sizeable chunk of knowledge but you have to do math to understand math.
Matrices are an excellent way of storing data for subsequent statistical analysis. We've become used to spreadsheets / databases but a simple custom program using a matrix really flies.
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