Teaching Linear Algebra with and to Computers

David Jeffrey
Robert M. Corless
Ontario Research Centre for Computer Algebra
University of Western Ontario
Canada

Abstract

Three topics are discussed that relate to the teaching of linear algebra using computers(here the term computers includes calculators). The first topic is the variation in notationand terminology both between books and computer systems, and between diŽerent computersystems. The second topic is the importance of numerical linear algebra, and how it becomesmore diącult to avoid numerical aspects of the subject once computers are used in teaching.The final topic is the Turing factoring of a matrix. This is a factoring approach to rowreduction, and if it is taught in courses, students can transfer what they know to computerswith a minimum of difficulty.


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