A NOVEL CONDENSATION METHOD FOR SOLVING SIMULTANEOUS LINEAR EQUATIONS AND FOR FINDING DETERMINANTS OF MATRICES

There exist certain condensation methods of hand-solving simultaneous linear equations with large numbers of unknowns and hand-calculating the determinants of large orders, namely pivotal condensation method and Dodgson's Method of 1866. The object of this... More

There exist certain condensation methods of hand-solving simultaneous linear equations with large numbers of unknowns and hand-calculating the determinants of large orders, namely pivotal condensation method and Dodgson's Method of 1866. The object of this paper is to present a new condensation method. This new method is very simple to understand, very straightforward, and unknown to teachers and students of mathematics. Numerous examples to illustrate the use of this method are shown throughout this paper. Less