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We define the commutator, denoted by [X, Y], of two square matrices X and Y to be [X, Y] = XY - YX. Let A,

We define the commutator, denoted by [X, Y], of two square matrices X and Y to be [X, Y] = XY - YX. Let A, B, and C be 2 x 2 real matrices. Prove or disprove: [A, B]?, C] = 0

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