In mathematics, Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equations. It consists of a sequence of...

the computation of the kernel of a matrix (see § Computation by Gaussian elimination, below for methods better suited to more complex calculations). The...

Gaussian algorithm may refer to: Gaussian elimination for solving systems of linear equations Gauss's algorithm for Determination of the day of the week...

matrix}}\}.} This is called the Gaussian elimination greedoid because this structure underlies the Gaussian elimination algorithm. It is a greedoid, but...

as matrix multiplication include determinant, matrix inversion, Gaussian elimination (see next section). Problems with complexity that is expressible...

matrix as well. LU decomposition can be viewed as the matrix form of Gaussian elimination. Computers usually solve square systems of linear equations using...

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...

syllogism, a rule of inference Gaussian elimination, a method of solving systems of linear equations Fourier–Motzkin elimination, an algorithm for reducing...

The variant of Gaussian elimination that transforms a matrix to reduced row echelon form is sometimes called Gauss–Jordan elimination. A matrix is in...

as a linear combination of determinants of submatrices, or with Gaussian elimination, which allows computing a row echelon form with the same determinant...