A procedure is proposed for the solution of a set of n linear equations in n unknowns. The procedure involves a vector technique designed to rid the system of three unknowns in each elimination step such that eventually a one-, two- or three-equation set may be obtained and simply solved. The remaining unknowns may then be directly obtained by back-substitution. The method presented is intended to make it easier for engineering students to write their own code to solve systems of linear equations. The familiarity of engineering students with vector techniques enables them to fully assimilate and utilise the concepts presented in this paper.
PressW. H.TeukolskyS. A.VetterlingW. T.FlanneryP. B., Numerical Recipes in C – The Art of Scientific Computing (Cambridge University Press, New York, 1997).
2.
ApostolT. M., Calculus, Volume 1: Introduction with Vectors and Analytic Geometry (Blaisdell Publishing Company, New York, fourth printing, 1964).
3.
RalstonA., A first course in numerical analysis (McGraw-Hill, New York, 1965).
4.
IsaacsonE.KellerH. B., Analysis of Numerical Methods (John Wiley & Sons, New York, 1966).
5.
KreyszigE., Advanced Engineering Mathematics (John Wiley & Sons, New York, 1993).
