- Calculus, Volume 2: Multi-Variable Calculus and Linear Algebra with Applications to Differential Equations and Probability
- Tom M. Apostol
- Second Edition
- 1991
- 978-1-119-49676-2
3. $\quad$ Determinants
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3.1. $\quad$ Introduction
3.2. $\quad$ Motivation for the choice of axioms for a determinant function
3.3. $\quad$ A set of axioms for the determinant function
3.4. $\quad$ Computation of determinants
3.5. $\quad$ The uniqueness theorem
3.6. $\quad$ Exercises
3.7. $\quad$ The product formula for determinants
3.8. $\quad$ The determinant of the inverse of a nonsingular matrix
3.9. $\quad$ Determinants and independence of vectors
3.10. $\quad$ The determinant of a block-diagonal matrix
3.11. $\quad$ Exercises