BUILT-IN MATHEMATICA SYMBOL
LinearSolve
LinearSolve[m, b]
finds an x that solves the matrix equation 
.
- LinearSolve works on both numerical and symbolic matrices, as well as SparseArray objects.
- The argument b can be either a vector or a matrix. »
- The matrix m can be square or rectangular. »
- LinearSolve[m] and LinearSolveFunction[...] provide an efficient way to solve the same approximate numerical linear system many times.
- LinearSolve[m, b] is equivalent to LinearSolve[m][b].
- For underdetermined systems, LinearSolve will return one of the possible solutions; Solve will return a general solution. »
- LinearSolve[m, b, Modulus->n] takes the matrix equation to be modulo n. »
- LinearSolve[m, b, ZeroTest->test] evaluates
to determine whether matrix elements are zero. The default setting is ZeroTest->Automatic.
- A Method option can also be given. Settings for exact and symbolic matrices include
, 
, and 
. Settings for approximate numerical matrices include 
, and for sparse arrays 
and 
. The default setting of Automatic switches among these methods depending on the matrix given.
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