The trace is invariant under cyclic permutations of A,B,C. Exercise: Prove this result for the more general case of n matrices 𝐴₁, 𝐴₂, ... 𝐴𝑛.pic.twitter.com/h5cPoKzsmD
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One line, no indices. Proof: For X,Y \in gl(n) we have tr([X,Y]) =0. Now take X = A_1 , Y = A_2A_3...A_n.
My savior is assuming everything is a homogenous liquid lol
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