Unique Skill ID: KS123MQ735SBTJ3XC8VX

Elementary Matrix (Linear Algebra)

In mathematics, an elementary matrix is a matrix which differs from the identity matrix by one single elementary row operation. The elementary matrices generate the general linear group GLn(R) when R is a field. Left multiplication (pre-multiplication) by an elementary matrix represents elementary row operations, while right multiplication (post-multiplication) represents elementary column operations.

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