A method for solving Matrix Equations of the form

(1) 
Starting with the system of equations

(2) 
compose the augmented Matrix ``equation''

(3) 
Then, perform Matrix operations to put the augmented Matrix into the form

(4) 
Solve the equation of the th row for , then substitute back into the equation of the st row obtain a solution
for , etc., according to the formula

(5) 
See also GaussJordan Elimination, LU Decomposition, Matrix Equation, Square Root Method
© 19969 Eric W. Weisstein
19990525