transformations that can be done on a matrix, helpful in finding the reduced row echelon form of a matrix. These transformations include:
a) switching the order of the rows of the matrix
b) multiplying a row by a scalar
c) adding one row of the matrix to another row.
Any e.r.o. can also be written as an elementary matrix. The elementary matrix for an e.r.o. R1 is found by applying R1 to I (the identity matrix) .

If A -> B under an e.r.o. R1, then
A.r = B,

where r is the elementary matrix corresponding to R1.

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