Math 316 - Fall Semester 2006 - Lectures

Questions regarding the lectures below can be sent to Prof. Williams by e-mail.

These notes will form the basis for part of the lectures. The remainder of each lecture period will be devoted to answering students' questions and solving problems.

• Lecture 1 (8/29/06) - Introduction to Systems of Linear Equations, Geometric Interpretations

• Lecture 2 (8/31/06) - Review of Vectors, Matrices, Gauss-Jordan Elimination, and Reduced Row-Echelon Form

• Lecture 3 (9/5/06) - Solutions to Systems of Equations

• Lecture 4 (9/7/06) - Infinite Number of Solutions, Matrix-Matrix Multiplication, and Matrix Algebra

• Lecture 5 (9/12/06) - Linear Combinations, Linear Independence, and Span

• Lecture 6 (9/14/06) - Basis, Dimension, and Coordinates

• Lecture 7 (10/3/06) - Linear Transformations

• Lecture 8 (10/5/06) - Inverse of a Linear Transformation

• Lecture 9 (10/12/06) - Image and Kernel of a Linear Transformation

• Lecture 10 (10/17/06) - Change of Basis of a Linear Transformation

• Lecture 11 (11/7/06) - Gram-Schmidt Process (in-class notes)

• Lecture 12 (11/9/06) - Determinants

• Lecture 13 (11/14/06) - Eigenvalues and Eigenvectors

• Lecture 14 (11/16/06) - Eigenbasis, Diagonalization, and Powers of a Matrix

Back to my Homepage

Link to Mathematics and Statistics Department at Old Dominion University