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Elementary matrix: Revision history


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  • curprev 20:1020:10, 23 August 2020Tony1123 talk contribsm 7,062 bytes +6 The elementary matrices do not, in general, generated the general linear group over an arbitrary ring. But they always do when the general linear group is taken over a field. undo

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  • curprev 23:1023:10, 4 July 2020EmilyRiehl talk contribsm 7,056 bytes +104 Added a comment that the fact that row operations are determined by left multiplication by an elementary matrix, namely the matrix obtained by applying that row operation to the identity, is an instance of the Yoneda lemma in category theory. undo

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  • curprev 18:2718:27, 23 October 201665.92.192.155 talk 6,095 bytes −7 The determinant of the identity matrix is 1, not -1. In a 2x2 matrix, this can be proven as easily as calculating det = ad - bc = (1)(1) - (0)(0) = 1. This holds though for any sized identity matrix n x n undo
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