For any elements a and b of a noncommutative ring, (ba)^n equals the (0,0)-entry of a matrix power built from shift and lower-triangular commutator matrices.
://mathoverflow.net/questions/337766/
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Commutators, matrices and an identity of Copeland
For any elements a and b of a noncommutative ring, (ba)^n equals the (0,0)-entry of a matrix power built from shift and lower-triangular commutator matrices.