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Linear Transformations will take you on a Trip Comparable to that of Magical Mushroom Sauce, And Perhaps cause More Lasting Damage Long after I was supposed to “get it”, I finally came to understand matrices by looking at the above … Continue reading
Tagged algebra, eigenvector, eigenvectors, linear algebra, linear transformations, math, mathematics, maths, matrices, matrix algebra, matrix transformations, vector, vector calculus, vectors
This is trippy, and profound. The determinant — which tells you the change in size after a matrix transformation 𝓜 — is just an Instance of the Alternating Multilinear Map. (Alternating meaning it goes + − + − + − + … Continue reading
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Tagged abstract, angle, deep, determinant, differential form, direction, linear algebra, linear operator, linear transforms, mapping, math, mathematics, maths, matrix, multilinear map, shape, size, tensor, trippy, vector, volume
Well I thought the outer product was more complicated than this. An inner product is constructed by multiplying vectors A and B like Aᵀ × B. (ᵀ is for turned.) In other words, timesing each a guy from A by his … Continue reading