Solving Linear Algebra problems using Maple.
Start by loading the linear algebra package
Vectors and matrices are defined as follows.
Finding the echelon form (not unique)
Finding the reduced row echelon form (unique)
Warning, does not work for matrices with parameters. Two examples:
This is wrong for h=2.
This is wrong for many different values of the four parameters in this matrix.
Solving a system of linear equations
Define the coefficient matrix and the right hand side, as in the following examples. Then use the linear solver.
If the solution is not unique, then Maple returns the solution in parametrized form.
Maple uses a particular notation for variables it defines. They always start with an underscore _
You can make Maple use any name you choose, giving it as a string in the input. The above example again, with this option.