Linear Algebra in Context

Lawrence Susanka received his PhD in Mathematics in 1991 from the University of Minnesota. He was tenured at Bellevue College for 28 years until 2019. He currently helps manage the Math and Physics Colloquium series at Bellevue. Dr. Susanka has an active interest in physics and mathematics, rock and ice climbing, chess problems, horses and running mountain trails.  He is a supporter of The Planetary Society, various skeptical organizations such as the Committee for Skeptical Inquiry, and is a fan of science fiction in its myriad forms.

• Preface.- Part I Linear Algebra.- 1 Basics.- 2 Vector Spaces.- 3 Bilinear and Sesquilinear Forms.- 4 Shorter Applications.- 5 Factorization.- Part II Extended Applications.- 6 The Discrete Fourier Transform.- 7 Geometry Associated with Real Bilinear Forms.- Algebras.- 9 Tensors.- 10 Mechanics: Newton, Lagrange, Hamilton, Noether.- A Permutation and the Signum Function.- B Groups.- C Polynomial Roots are Continuous in the Coefficients.- D The Fundamental Theorem of Algebra.-  E There is a Basis for Every Vector Space.- F The GNU Linear Programming Kit (GLPK).- G MATLAB Code for Adjunct Matrices.- H MATLAB Code for Rotations and Euler Angles.- I. MATLAB Code for Lorentz Matrices.- J MATLAB Code to Illustrate DFT Facts.- K MATLAB Code for Quaternions, Octonions and Gamma Matrices.- L MATLAB Code for Tensor Operations.- Suggested Further Reading.- References.- Index.