04 Least Squares Projection
Linear Regression is statistician's garnish on mathematician's least squares projection
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Linear Algebra
03 Matrix as a Change of Basis
Singular Value Decomposition explicitly shows what a matrix does; change the basis, do the linear transform, and change the basis again
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02 Matrix as a Linear Operator
For a given basis, a matrix represents a linear operator that stretches and rotate the coordinate space
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01 Length, Angle and Area
How length, angle and area(volume) are defined in linear algebra
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