Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...
This course is a continuation of MATH.1380. Review of integration and methods. Solving systems of linear equations. Use and application of matrices including inverses, determinants, eigenvalues and ...
SIAM Journal on Applied Mathematics, Vol. 34, No. 1 (Jan., 1978), pp. 176-197 (22 pages) We consider a graph-theoretic elimination process which models Gaussian elimination on sparse systems of linear ...