The chapters below are/will be the text for the course.
Up through Chapter 10 they will not change, except to correct typos.
The remaining chapters are subject to heavy revision, and there may be a few more chapters added.
All files are in PDF. View them with Adobe Acrobat.
Solution links become active after the homework is turned in.
Chapter 1 Arithmetic of 2x2 Matrices solutions
Chapter 2 Special Types of Matrices solutions
Chapter 3 Determinant and Trace solutions
Chapter 4 Matrices as Linear Maps solutions
Chapter 5 Reflection Matrices solutions
Chapter 6 Fibonacci Numbers solutions
Chapter 7 Migration solutions
Chapter 8 Eigenvalues and Eigenvectors solutions
Chapter 9 Multiple Eigenvalues and Nilpotent Matrices solutions
Exam 1 study problems solutions
Exam 1 solutions
Chapter 11, with solutions The geometry of the determinant and the Iwasawa decomposition
Chapter 12 Differential Equations solutions
(omitted Fall 2011)
Chapter 13 Vectors in
Chapter 14 Three-by-Three
and Determinants solutions
Chapter 15 The Kernel of a Three-by-Three
Chapter 16 Three-by-Three
and Eigenvectors solutions
Chapter 17 Orthogonal Matrices
and Symmetries of Space solutions
Chapter 18 Introduction to Four
Exam 2 study problems, with solutions
Exam 2 solutions
Chapter 19 General
Chapter 20 Vector Spaces and Bases
Chapter 21 The dimension of a vector space
Chapter 22 Subspaces, Linear Maps and the Kernel-Image theorem
Chapter 23 Change of Basis
Final Study Problems (with solutions)
Linear Algebra behind Google (by K. Bryan and T. Leise)