In mathematics, Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equations. It consists of a sequence of...
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the computation of the kernel of a matrix (see § Computation by Gaussian elimination, below for methods better suited to more complex calculations). The...
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Gaussian algorithm may refer to: Gaussian elimination for solving systems of linear equations Gauss's algorithm for Determination of the day of the week...
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Greedoid (redirect from Gaussian elimination greedoid)
matrix}}\}.} This is called the Gaussian elimination greedoid because this structure underlies the Gaussian elimination algorithm. It is a greedoid, but...
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Computational complexity of matrix multiplication (section Matrix inversion, determinant and Gaussian elimination)
as matrix multiplication include determinant, matrix inversion, Gaussian elimination (see next section). Problems with complexity that is expressible...
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LU decomposition (section Using Gaussian elimination)
matrix as well. LU decomposition can be viewed as the matrix form of Gaussian elimination. Computers usually solve square systems of linear equations using...
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Gram–Schmidt process (section Via Gaussian elimination)
vk} are written as a matrix A {\displaystyle A} , then applying Gaussian elimination to the augmented matrix [ A A T | A ] {\displaystyle \left[AA^{\mathsf...
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syllogism, a rule of inference Gaussian elimination, a method of solving systems of linear equations Fourier–Motzkin elimination, an algorithm for reducing...
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The variant of Gaussian elimination that transforms a matrix to reduced row echelon form is sometimes called Gauss–Jordan elimination. A matrix is in...
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Determinant (section Gaussian elemination)
as a linear combination of determinants of submatrices, or with Gaussian elimination, which allows computing a row echelon form with the same determinant...
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