A method for solving the Diophantine equation using a nonsingular matrix equation system is proposed in this note. A scheme of setting up a system with the same number of variables as equations is described. An analytical approach to ensure the invertibility of the system formed is given. Examples presented show the simplicity of the method.
['K.S. Yeung', 'Tse-Min Chen']
Solving matrix diophantine equations by inverting a square nonsingular system of equations