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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

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Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto


Peter Philip
LMU Munich
MR ID: 639375
Reference #


Posted date
2021-10-20 11:27:02
Revised date
2022-04-10 15:37:04
Notes type
   Standard Course Offering
      Linear Algebra
      Commutative Algebra

Linear Algebra II

Second part of two-semester course on Linear Algebra: Affine geometry is introduced as well as duality, multilinear maps, determinants, and eigenvalues. Via characteristic and minimal polynomials, we obtain the Jordan normal form. We study vector spaces with inner products, including orthogonality, adjoint maps, as well as Hermitian, unitary, and normal maps. Appendix includes an existence proof for algebraic closures.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v3 PDF (1.5M) 04/10/22