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Tag Archives: determinant
Angle = Volume
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
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Determinant
A matrix ℳ represents a sequence of + and × operations. At the end you’ve linearly transformed a space (sheared it, expanded it, rotated it — but kept the origin where it is.) Did the amount of stuff in the picture change when you … Continue reading
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Tagged determinant, econometrics, linear algebra, math, mathematics, maths, matrices
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