ReducedRowEchelonForm.md (693B)
1 # Reduced Row Echelon Form 2 3 Khan 4 5 **Definition:** Reduced row echelon form is a form of matrix where each row has a 1 after the zeoes that are all on the left side of the one. Additionally, each row above another row must have its 1 further to the left than the prior one, and all values to the right of the one should be zeroes if possible. 6 7 If we are trying to find the basis of the column space then the columns with the pivot variables are that information. Alternatively, we can do RREF, write the equations, solve for the pivots based on the free variables. These will both give the correct result, but they will be different results as there are many statements of the basis of a span.