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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

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The lie algebra of the orthogonal group of an arbitrary space time metric

Let X ad Y be two vectors in R4, and define the inner product of X and Y as: (X*Y) = gikXiYk (summation convention for repeated indicies) Then we consider the 4x4 matrix g whose components are gik. …
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