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UNIT 3 MATRICES - II - Indira Gandhi National Open University
www.ignou.ac.inelementary row operations on the matrix. Theorem : The rank of a matrix remains unaltered under elementary row operations. The theorem can be proved by noting that the order of the largest non-singular square submatrix of the matrix is …
Elementary Row Operations - University of California, Davis
www.math.ucdavis.eduElementary Row Operations Our goal is to begin with an arbitrary matrix and apply operations that respect row equivalence until we have a matrix in Reduced Row Echelon Form (RREF). The three elementary row operations are: (Row Swap) Exchange any two rows. (Scalar Multiplication) Multiply any row by a constant.