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Matrix Product Interpretations and Visualizations: Linear Algebra for Programmers

Three interpretations of matrix products0. Prerequisites and notationscolumn vectorrow vectornumbernumber * column vectornumber * row vector1. Interpretation #1: Weighted sum of columns or rows1.1 Matrix vector product as a weighted sum of columns1.2 Vector matrix product as a weighted sum of rows2. Interpretation #2: Dot products of columns or rows with input vector2.1 Matrix vector product as a dot product of rows with input vector2.2 Vector matrix product as a dot product of columns with inpu...

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