Linear Systems

The Wolfram Language incorporates the latest algorithms for solving industrial-scale linear systems, automatically switching between optimal dense and sparse algorithmsand handling exact, symbolic, and arbitrary-precision as well as machine-precision computation.

ReferenceReference

LinearSolve solve a linear system, dense or sparse

LinearSolveFunction a function created to repeatedly solve a linear system

Inverse explicit dense matrix inverse

NullSpace vectors spanning the null space of a matrix

MatrixRank rank of a matrix

Det determinant

Minors matrices of minors

RowReduce generate a row echelon form

LUDecomposition  ▪  CholeskyDecomposition

UpperTriangularize  ▪  LowerTriangularize

Minimization Problems »

LeastSquares  ▪  PseudoInverse  ▪  Norm  ▪  LinearProgramming  ▪  ...