Linear Algebra

Fall 2026, University of Houston.

Course information

Meets — Tue & Thu, 10am–11:30am

Location — TU2 211

Office hours — Tue & Thu, 11:30am–1pm, & by appointment

Textbook — Linear Algebra and Its Applications, by David C. Lay, Steven R. Lay, and Judi J. McDonald (ISBN: 9780135851258).

Announcements

NotationHere is a list of commonly used notation.
Quiz 3will cover 1.5 and 1.7.

Lecture notes

1.1Systems of linear equations
1.2Row reduction and echelon forms
1.3Vector equations
1.4Matrix equations
1.5Solution sets of linear systems
1.7Linear independence
1.8Linear Transformations
1.9The Matrix of a Linear Transformation

Homework

The following homework problems are from the 6th edition of the textbook.

Section 1.111, 21, 23
Section 1.24, 11, 19
Section 1.31, 5, 9, 11, 33, 35
Section 1.41, 3, 10, 11, 15, 22, 36
Section 1.51, 5, 19, 41, 42
Section 1.75, 9, 45
Section 1.83, 9, 17, 38
Section 1.92, 5, 21, 37, 44