Title: |
Mathematics 728-729: Linear Algebra I, Multilinear and Exterior Algebra |
Credits: |
3 credits each |
Prerequesites: |
Mathematics 329 or Departmental appproval |
Required for: |
|
Suggested Text: |
Brennan-
AI Kostrikin, Yui Manin. Linear Algebra and Geometry. Gordon & Breach. Roger A. Horn, Charles R. Johnson. Matrix Analysis. Cambridge Univ. Press. |
Linear Algebra: Theory of linear transformations and matrices, canonical forms, inner product spaces, unitary spaces, symmetric forms, generalized inverses, and selected advanced topics.
Multilinear and Exterior Algebra: Symmetric and multilinear algebra. Universal constructions and mapping properties, the exterior algebra, matrix algebra, graded algebras and applications.