LinearSolve

Available

Solves the linear system `m . x == b`.

Independently checkable: an answer for this function is re-derived by a different route and compared - the workbench and the verify tool do this automatically, so a wrong answer is caught rather than trusted. History →

Forms

LinearSolve[m, b]

LinearSolve[m]

LinearSolve[a, b]

Verified examplesLinearSolve[{{1, 2}, {3, 4}}, {5, 11}] → {1, 2}LinearSolve[{{1, 2}, {3, 4}}][{5, 11}] → {1, 2}LinearSolve[{{1, 2, 3}, {4, 5, 6}}, {1, 2}] → {-1/3, 2/3, 0}Options

Method — default Automatic
Modulus — default 0
ZeroTest — default Automatic

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Used in

Linear algebra introduction read - 9 steps
Linear algebra matrix computations least squares solutions - 11 steps

Topics

Equation Solving - General
Finite Fields - Linear Algebra over Finite Fields
Finite Mathematics - Linear Systems
GPU Computing - Linear Algebra »
GPU Computing - NVIDIA GPUs »
GPU Computing-NVIDIA - Linear Algebra »

Inverse Solve NullSpace CoefficientArrays CholeskyDecomposition PseudoInverse LeastSquares RowReduce LinearSolveFunction MatrixPower Adjugate Dot

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LinearSolve

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