**solve**,
a MATLAB code which
solves a linear system of equations A*x=b using Gauss elimination.

In MATLAB, of course, one can simply type "x = A\b" and get an answer, even if the matrix is ill-conditioned, singular, complex, rectangular (over-determined or under-determined).

Nonetheless, this library is useful because:

- it shows the steps involved in a simple Gauss-elimination procedure;
- it can be used to count the number of operations in Gauss-elimination;
- it can be used as a guide for writing a corresponding program in a non-MATLAB environment;
- its performance can be compared to corresponding versions in C or Fortran;
- it can be used as a starting point for exploring band storage, sparse storage, iterative solutions and other topics in linear algebra.

The computer code and data files made available on this web page are distributed under the MIT license

**solve** is available in
a C version and
a C++ version and
a FORTRAN90 version and
a MATLAB version.

r8lib, a MATLAB code which contains many utility routines using double precision real (R8) arithmetic.

- r8mat_fs.m, factors and solves a linear system.
- r8vec_print.m, prints an R8VEC.