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)
  
  
  • Biography and photos of Gabriel Cramer (1704-1752)

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