Elementary Linear Algebra.

Elementary Linear Algebra

Notes on Elementary Linear Algebra

C. David Sherrill School of Chemistry and Biochemistry Georgia Institute of Technology Revised August 2005 1 Vectors In quantum mechanics, we are generally interested in complex numbers. Let C denote the set of all n-tuples of complex numbers (a complex n-space). The elements of C may be called “points” or “vectors” in complex n-space. The elements of the complex numbers C are scalars. A vector...

Notes on Elementary Linear Algebra

Elementary Linear Algebra Kuttler January 10 , 2012

Farkas’ Lemma Derived by Elementary Linear Algebra

This note presents a partially new proof of Farkas’ lemma, based on no other tools than elementary linear algebra (matrixand vector calculus). No properties of the real numbers other than those shared by the rational numbers are used. The general approach is the same as in the paper by A. Dax from 1997 (SIAM Review, 39(3):503-507), but instead of using an active set method for proving the exist...