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Classroom Notes

On row rank equal column rank

Pages 405-407 | Received 02 Feb 2008, Published online: 02 Apr 2009
 

Abstract

We will prove a well-known theorem in Linear Algebra, that is, for any m × n matrix the dimension of row space and column space are the same. The proof is based on the subject of elementary matrices and reduced row-echelon form of a matrix.

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