LinearSolve[m, b] finds an x that solves the matrix equation m.x == b. LinearSolve[m] generates a LinearSolveFunction[...] that can be applied repeatedly to different b.

Many calculations involve solving systems of linear equations. In many cases, you will find it convenient to write down the equations explicitly, and then solve them using ...

ZeroTest is an option to various linear algebra functions that gives a function to use in testing whether symbolic expressions should be treated as zero.

MessageList[n] is a global object assigned to be a list of the names of messages generated during the processing of the n\[Null]^th input line.

$MessageList is a global variable that gives a list of the names of messages generated during the evaluation of the current input line.

LinearSolveFunction[dimensions, data] represents a function for providing solutions to a matrix equation.

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

Mathematica's matrix operations handle both numeric and symbolic matrices, automatically accessing large numbers of highly efficient algorithms. Mathematica uses ...

Mathematica has special sparse-array technology for efficiently handling arrays with literally astronomical numbers of elements when only a small fraction of the elements are ...

HilbertMatrix[n] gives the n*n Hilbert matrix with elements of the form 1/(i + j - 1). HilbertMatrix[{m, n}] gives the m*n Hilbert matrix.