Solves the linear system for using Gaussian elimination with partial pivoting.

x = gaussian_elimination(A,b)

x = gaussian_elimination(A,b) solves the linear system for , where and .

NOTE: This function is intended as a demonstration of gaussian elimination. The "\" and "/" operators (or equivalently the "mldivide" and "mrdivide" functions) should still be used in practice when solving linear systems.

• See "EXAMPLES.mlx" or the "Examples" tab on the File Exchange page for examples.
• See Gaussian_Elimination.pdf (also included with download) for additional documentation.