chapter  5
34 Pages

Ax = d: Multiple Solutions

This chapter contains methods for solving algebraic equations Dx = d where D is a matrix with more columns than rows, that is, more variables than equations. Row operations are used to find the basis of the nullspace solution set and a particular solution. Applications to circuits, trusses and fluid flow are studied in the context of equilibrium equations where the block Gauss elimination and nullspace methods are introduced.