In this program
- Axiomatic characterization of the determinant
- Existence
- Uniqueness
- Det(AB) = det(A)det(B)
- Invertibility criteria
- Geometric interpretation via signed volume
Determinants (theory)
Axiomatic characterization of the determinant
Linear algebra · Theoretical / proof-based
Topic
Axiomatic characterization of the determinant
Undergraduate Linear Algebra — scope drawn from Axler Linear Algebra Done Right (open PDF), Treil Linear Algebra Done Wrong, Beezer A First Course in Linear Algebra, and AIM-approved OER texts.