Module 3: Determinants
Compute and apply determinants using cofactor expansion, discover their properties, and understand their geometric meaning.
Module Lessons
1
Determinant: Definition and Cofactor Expansion
Learn the recursive definition of determinants via cofactor expansion along any row or column.
2
Properties of Determinants
Discover how row operations affect determinants and master det(AB) = det(A)det(B).
3
Cramer's Rule
Use determinants to solve systems of linear equations with a direct formula.
4
Geometric Interpretation: Area, Volume, Orientation
Understand determinants as scaling factors for area and volume, and orientation.