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- Row_echelon_form abstract "In linear algebra, a matrix is in echelon form if it has the shape resulting of a Gaussian elimination. Row echelon form means that Gaussian elimination has operated on the rows andcolumn echelon form means that Gaussian elimination has operated on the columns. In other words, a matrix is in column echelon form if its transpose is in row echelon form. Therefore only row echelon forms are considered in the remainder of this article. The similar properties of column echelon form are easily deduced by transposing all the matrices.Specifically, a matrix is in row echelon form if All nonzero rows (rows with at least one nonzero element) are above any rows of all zeroes (all zero rows, if any, belong at the bottom of the matrix). The leading coefficient (the first nonzero number from the left, also called the pivot) of a nonzero row is always strictly to the right of the leading coefficient of the row above it (some texts add the condition that the leading coefficient must be 1.). All entries in a column below a leading entry are zeroes (implied by the first two criteria).This is an example of a 3×5 matrix in row echelon form:".
- Row_echelon_form wikiPageExternalLink RREF.html.
- Row_echelon_form wikiPageExternalLink www.matrixanalysis.com.
- Row_echelon_form wikiPageID "330215".
- Row_echelon_form wikiPageRevisionID "597874867".
- Row_echelon_form hasPhotoCollection Row_echelon_form.
- Row_echelon_form subject Category:Numerical_linear_algebra.
- Row_echelon_form comment "In linear algebra, a matrix is in echelon form if it has the shape resulting of a Gaussian elimination. Row echelon form means that Gaussian elimination has operated on the rows andcolumn echelon form means that Gaussian elimination has operated on the columns. In other words, a matrix is in column echelon form if its transpose is in row echelon form. Therefore only row echelon forms are considered in the remainder of this article.".
- Row_echelon_form label "Echelonvorm".
- Row_echelon_form label "Macierz schodkowa".
- Row_echelon_form label "Matrice échelonnée".
- Row_echelon_form label "Matriz escalonada".
- Row_echelon_form label "Row echelon form".
- Row_echelon_form label "Ступенчатый вид по строкам".
- Row_echelon_form label "行階段形".
- Row_echelon_form label "阶梯形矩阵".
- Row_echelon_form sameAs Κλιμακωτή_μορφή.
- Row_echelon_form sameAs Matriz_escalonada.
- Row_echelon_form sameAs Matrice_échelonnée.
- Row_echelon_form sameAs 行階段形.
- Row_echelon_form sameAs Echelonvorm.
- Row_echelon_form sameAs Macierz_schodkowa.
- Row_echelon_form sameAs m.01wtk_.
- Row_echelon_form sameAs Q2091296.
- Row_echelon_form sameAs Q2091296.
- Row_echelon_form wasDerivedFrom Row_echelon_form?oldid=597874867.
- Row_echelon_form isPrimaryTopicOf Row_echelon_form.