. . Non-homogeneous Linear Equations Example . Test for consistency of the following system of linear equations and if possible solve: + = Here the number of unknowns is .
The matrix form of the system is AX B , where A = X B The augmented matrix is ] A B = Applying Gaussian elimination method on [ ], A B we get ] A B →− →− →− ÷ − R → There are three non-zero rows in the row-echelon form of [ ]. A B So, ρ [ ] A B