algebre lineair

Activity Workbook
for
Understanding Linear Algebra

Activity Workbook
for
Understanding Linear Algebra
David Austin
Grand Valley State University
December 21, 2023

Edition: 2023 Update
Website: http://gvsu.edu/s/0Ck
©2023 David Austin
This work is licensed under a Creative Commons Attribution 4.0 International License¹.
¹creativecommons.org

Preface
This workbook consists of the activities from Understanding Linear Algebra, which is available in a variety of formats
at gvsu.edu/s/0Ck.
This workbook is meant to support students and instructors as a supplement to their use of the book. Each activity
appears on its own page, and blank space is provided for students to work directly in the workbook. In this way,
students can generate an organized and completed set of activities for future reference.
In addition, this workbook aims to develop readers’ ability to reason about linear algebraic concepts and to apply
that reasoning in a computational environment. In particular, Sage is introduced as a platform for performing many
linear algebraic computations since it is freely available and its syntax mirrors common mathematical notation.
Readers may access Sage online using either the Sage cell server² or a provided page of Sage cells.³
Throughout the workbook, Sage cells appear in various places to encourage readers to use Sage to complete some
relevant computation. These may appear with some pre-populated code, such as the one below, that you will want
to copy into an online Sage cell.
A = matrix ([[1 ,2] , [2 ,1]])
Empty cells appear as shown below and are included to indicate part of an exercise or activity that is meant to be
completed in Sage.
²sagecell.sagemath.org/
³https:gvsu.edu/s/0Ng