THE MOORE-PENROSE GENERALIZED INVERSE AND GENERALIZED CRAMER RULES FOR SOLVING SINGULAR LINEAR ALGEBRAIC SYSTEMS

Abstract

In this paper, we consider singular linear systems of algebraic equations on the form We introduce formulas for the Moore- Penrose generalized inverse of depend on the ranks of , and based on the adgugate matrix. Using these formulas, we get generalized Cramer rules for the given systems.