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Gaussian elimination

In mathematics, Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equations. It consists of a sequence of row-wise operations performed on the corresponding matrix of coefficients. This method can also be used to compute the rank of a matrix, the determinant of a square matrix, and the inverse of an…

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Gaussian elimination

Nodes77
Edges76
Triples59
Avg. degree1.97
Density0.025974
Components1

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Gaussian elimination

Top relations

related to history · 17
Gaussian elimination → According, AD, BC, Chapter Eight, Chinese, Eurasia, Europe, Gaussian, Grcar, It, Its, Liu Hui, Mathematical Art, Rectangular Arrays, Renaissance, The, The Nine Chapters
related to Computational efficiency · 8
Gaussian elimination → Bareiss, For, Gaussian, However, If, The, This, Thus
related to Finding the inverse of a matrix · 8
Gaussian elimination → First, For, Gauss, Gaussian, If, Jordan, Now, The
related to Bareiss algorithm · 6
Gaussian elimination → Erwin Bareiss, Gaussian, In, Independently, Jack Edmonds, The
related to Numeric instability · 5
Gaussian elimination → For, Gaussian, If, One, This
related to Computing ranks and bases · 4
Gaussian elimination → All, In, The Gaussian, This
related to Generalizations · 4
Gaussian elimination → Buchberger's, Gaussian, The, This
related to Pseudocode · 4
Gaussian elimination → As, Gaussian, In, The
related to Computing determinants · 3
Gaussian elimination → Gaussian, Swapping, To

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Important terminology

matrix row operations form elimination echelon gaussian one equations algorithm reduced elementary displaystyle entries linear using system first reduction systems

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Gaussian eliminationrelated to Bareiss algorithmThe0.60section
Gaussian eliminationrelated to Bareiss algorithmGaussian0.60section
Gaussian eliminationrelated to Bareiss algorithmJack Edmonds0.60section
Gaussian eliminationrelated to Bareiss algorithmIndependently0.60section
Gaussian eliminationrelated to Bareiss algorithmErwin Bareiss0.60section
Gaussian eliminationrelated to Bareiss algorithmIn0.60section
Gaussian eliminationrelated to Computational efficiencyThe0.60section
Gaussian eliminationrelated to Computational efficiencyFor0.60section
Gaussian eliminationrelated to Computational efficiencyThus0.60section
Gaussian eliminationrelated to Computational efficiencyThis0.60section
Gaussian eliminationrelated to Computational efficiencyIf0.60section
Gaussian eliminationrelated to Computational efficiencyHowever0.60section

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