Chapter 3: Determinants
Class Notes
- Lay, Section 3.1, Introduction to Determinants (pdf)
- Lay, Section 3.2, Properties of Determinants (pdf)
- Lay, Section 3.3, Cramer's Rule, Volume, and Linear Transformations (pdf)
Homework Exercises
- Lay, Section 3.1, pp 190--192 -- 1, 9, 15, 25, 27, 29, 41
- Lay, Section 3.2, pp 199--201 -- 1, 3, 5, 15, 17, 19, 21, 24, 29
- Lay, Section 3.3, pp 209--211 -- 3, 5, 9, 13, 19, 23, 27
Case Study and Applications
Download the supporting pdf files and Mathematica notebooks from the Lay Linear Algebra web site.
- Determinants in Analytic Geometry
- The Jacobian and Change of Variables
Review
Use the following exercises to review and test your understanding of the material in Chapter 3. This is not homework, and there is nothing to hand in from this activity.
- Lay, Supplementary Exercises, Chapter 3, pp. 211-213 -- 2, 5, 7, 8, 9, 10, 11, 14
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