The Row Echelon Form

A rectangular matrix is in row echelon form if it has the following three properties:
  • All nonzero rows are above any rows of all zeros
  • Each leading entry of a row is in a column to the right of the leading entry of the row above it
  • All entries in a column below a leading entry are zeros
  • The first nonzero number in any row is a 1
This matrix is in row echelon form:
\begin{bmatrix} 1 && 1 && 3 && 3\\ 0 && 1 && 0 && 4 \\ 0 && 0 && 0 && 1 \end{bmatrix}
Friday, June 20, 2014

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