Pointwise multiplication (or element-wise) is also known as the Hadamard product. Is there a geometric interpretation similar to addition or subtraction in vector spaces?
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2This question is exactly what I'm looking for, but unfortunately remains unanswered even after nearly 6 years. :( – Galen Dec 22 '20 at 20:45
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Related: https://math.stackexchange.com/questions/2754366/geometric-interpretation-of-element-wise-vector-multiplication – Galen Jul 26 '21 at 01:16
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1See also https://math.stackexchange.com/questions/2337671/why-isnt-intuitive-vector-multiplication-useful and https://math.stackexchange.com/questions/185888/why-dont-we-define-vector-multiplication-component-wise and https://medium.com/linear-algebra/part-14-dot-and-hadamard-product-b7e0723b9133 and https://www.reddit.com/r/math/comments/97r5y7/motivation_for_hadamard_product/ – Gerry Myerson Jul 26 '21 at 04:01
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1And https://core.ac.uk/download/pdf/82272966.pdf – Gerry Myerson Jul 26 '21 at 04:09