Math 6351 Advanced linear algebra


Linear algebra is ubiquitous in mathematics and has numerous
applications in natural sciences. It provides a foundation for much of
modern algebra and has strong connections with functional analysis,
quantum mechanics, numerical methods, and differential geometry (to name
a few). Even the so-called nonlinear problems can often be solved using
methods of linear algebra. This course is intended for graduate students
in mathematics, both pure and applied.


This course covers the basics of linear algebra including canonical
forms of linear operators, inner product spaces and tensors.


Undergraduate linear algebra at the level of MATH 2051.


  • K. Hoffman and R. Kunze. Linear Algebra. Second Edition.
    Prentice-Hall, NJ, 1971.
  • A. I. Kostrikin and Y. I. Manin. Linear Algebra and Geometry. Gordon
    and Breach, NY, 1989.