Mathematica Workbook
to accompany
Linear Algebra with
Applications
by
Gareth
Williams
(Jones and
Bartlett Publishers)
The package consists of three files:
1. ReadMe: Gives an overview and explains where the
other two files should be placed.
2. Workbook:
This is the file the instructor or student uses. Consists of the topics
listed below.
3. LinAlg: This folder contains the programs LAWA.m
which are used in the workbook. Need never be opened.
This material may be modified by an instructor or
student for course use. Not to be sold or used for commercial purposes.
Workbook
Preface
Tutorial
1 Gauss-Jordan Elimination
2 Matrices
3 Archaeology
4 Inverse of a Matrix
5 Cryptography
6 Leontief Input/Output Model
7 Markov Chains
8 Digraphs
9 Determinants
10 Cramer's Rule
11 Sketching Vectors
12 Vectors in n-Space
13 Forces
14 Subspaces
15 Linear Combinations
16 Spanning Sets
17 Generating a Vector Space
18 Linear Dependence, Basis
19 Animation of Linear Dependence
20 Basis for a Subspace
21 Eigenvalues and Eigenvectors
22 Euclidean Geometry
23 Projection onto a Vector
24 Gram-Schmidt Orthogonalization
25 Projection onto a Subspace
26 Geometries on Pn
27 Non-Euclidean Geometries
28 Special Relativity
29 Linear Transformations
30 Matrix Transformations
31 Composite Transformations
32 Fractals
33 Kernel and Range
34 One-to-One, Onto, Isomorphisms
35 Least Squares
36 Similarity Transformations
37 Eigenvectors of Symmetric Matrices
38 Diagonalization of Matrices
39 Orthogonal Diagaonalization
40 Power Method for Dominant Eigenvalue
41 Connectivity of a Graph
This work was supported by the National Science Foundation under the Course and Curriculum Development program