Gauss method

b1 ≠0 & b2 ≠0 => nonhomogeneous system
∆=-716≠0=> nondegenerate matrix &

b1 ≠0 & b2 ≠0 => nonhomogeneous system
∆=-716≠0=> nondegenerate matrix &

b1 ≠0 & b2 ≠0 => nonhomogeneous system
∆=0=> degenerate matrix

inconsistent system

b1 ≠0 & b2 ≠0 => nonhomogeneous system
∆=0=> degenerate matrix

consistent system

general solution

particular solutions