Differences

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--- reduced_row_echelon_form [2015/01/29 11:49] – created rupert
+++ reduced_row_echelon_form [2016/02/05 12:11] (current) – rupert
@@ Line 1: / Line 1: @@
-A matrix is in **reduced row echelon form** or **RREF** if it is in row echelon form (REF) and also has the  property:
+A matrix is in **reduced row echelon form** or **RREF** if it is in [[row echelon form]] (REF), so that
+  - The [[zero rows]] of the matrix (if any) are all at the bottom of the matrix.
+  - In every non-zero row of the matrix, the [[leading entry]] is $1$.
+  - If row $i$ and row $(i+1)$ are both non-zero, then the leading entry in row $(i+1)$ is to the right of the leading entry in row $i$. <html><br /></html>In other words, as you go down the rows, the leading entries must go to the right.
+**and** the matrix also has the property:
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