Answer to Question #50189 in Linear Algebra for Astha

Question

What is the difference between Row Echelon form and Reduced Row Echelon form? Also, what is the difference between Gauss Elimination and Gauss Jordon elimination method?

Answer 1

Amatrix is in reduced rowechelon form ifit satisfies the following conditions:
1) Itis in row echelon form.
2) Everyleading coefficient is 1 and is the only nonzero entry in its column


Using rowoperations to convert a matrix into reduced row echelon form is sometimes
called Gauss–Jordan elimination. Some authors use the term Gaussian elimination
to refer to the process until it has reached its upper triangular, or
(non-reduced) row echelon form.