Linear Systems

Mathematica incorporates the latest algorithms for solving industrial-scale linear systems, automatically switching between optimal dense and sparse algorithms—and 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 ▪ ...

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