Review – Gaussian and Gauss-Jordan Elimination

Gaussian Elimination involves reducing a matrix to row-echelon form using the elementary row operations of matrices.
Gauss-Jordan Elimination involves reducing a matrix to reduced row-echelon form using the elementary row operations of matrices.
Either of these methods can be used to solve a system of equations.

Here is an example of solving the following system of equations using the Gauss-Jordan Elimination method:

2x	–	y	+	3z	=	24
		2y	–	z	=	14
7x	–	5y			=	6