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Question: problem 2 15 points the commutator of two matrices a...

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Problem 2: [15 points! The commutator of two matrices A, B, is defined to be the matrix C (AB-AB-BA (a) Compute the commutator of the matrices | i 0 0 , 0 0-1) . (b) Prove that the commutator satisfies the Jacobi identity [[A, BI cl十lle, Al, B1+ [1B,C.A-O fe any square 0-1 0 10 0 0 0 1 to 1 0 matrices A, B, C of the same size, and O is the zero matrix of the same size.

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