The audience for this course consists mostly of math majors, and students in sciences and engineering who need a proof-based course in linear algebra
Emphasizes the understanding of concepts in linear algebra and teaches to write and understand proofs in mathematics in general and in linear algebra in particular.
1) Vector Spaces. 2) Linear Transformations and Matrices. 3) Elementary Matrix Operations and Systems of Linear Equations. 4) Determinants. 5) Diagonalization. 6) Inner Product Spaces.