Define M to be a 3-by-4 Matrix.
For other ways to enter a matrix, see How Do I Enter a Matrix and Student[LinearAlgebra] .
The Student[LinearAlgebra] package allows you to walk through the stages of solving systems of equations either using Gaussian Elimination or Gauss-Jordan Elimination reduction methods. At any stage in the problem, you can ask for a hint, apply a rule or jump to the matrix in reduced row echelon form. This step-through functionality is presented in an easy to use maplet interface. Once the matrix is in reduced row echelon form, these tutors give you the option to query for the rank, nullity, and bases for the row, column, and null spaces. (The LinearSolveTutor will also let you see the solution in terms of equations.) Once complete, select Close to display the matrix in its reduced form to the Maple worksheet.
Reduce the Matrix M using the GaussianEliminationTutor.
Figure 1: Gaussian Elimination
To compute the results directly instead of single-stepping through this process, use the GaussianElimination function.
To see a plot of this result, use the LinearSystemPlot function.