Chapter 4.1
Determinants: Properties, Formulas, and Applications
One number per square matrix that tells invertibility, scales volume, and hides inside every eigenvalue computation — built from three properties, computed by pivots or cofactors.
13–16 min · in preparation · lesson 12 of 21
By the end
- 01Derive determinant behavior from its defining properties
- 02Compute determinants by pivots, cofactors, and the big formula
- 03Apply determinants: A⁻¹, Cramer's rule, and volume