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8:08
YouTube
Mike, the Mathematician
The Commutator of Two Matrices
We define the commutator of two matrices which is a special case of the Lie bracket. It is defined by [A,B] = AB-BA, so we see that the commutator vanishes exactly when the matrices commute. We prove several properties of the commutator with the most important being the Jacobi identity. #mikethemathematician, #mikedabkowski, #profdabkowski
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