Linear Algebra Part I

This is an unevaluated Mathematica notebook. If you do not have a copy of Mathematica handy, you may want to also view the evaluated version

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

Needs the package gjsf.m


  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

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