Linear Algebra Part I

This is an evaluated Mathematica notebook. Since the notebook is intended to be interactive, it may be helpful to also view the unevaluated version

Copyright 1994
Gary S. Stoudt
Mathematics Department
Indiana University of PA
Indiana, PA 15705
GSSTOUDT@grove.iup.edu

Needs the package gjsf.m

In[1]:=

  Needs["LinearAlgebra`MatrixManipulation`"]

It is intended that you work through this notebook in order to "discover for yourself" some properties of matrices. For all of these, try a few matrices until you are convinced of the answer. Make sure you try square and rectangular matrices where appropriate. I give a matrix or two to get you started.

Elementary Matrices and Elementary Row Operations

Some Properties of Elementary Matrices

Elimination and Echelon Forms

Some Theorems and Finding the Inverse of a Matrix