5.7 Redundant Equations

The system

(1/2⋅x-y=1/2, x+y=1, 1/2⋅x+y=1/2)ℓ

 


contains a redundant equation. Converted to a matrix and then reduced, this is:

[(2, 6, 2), (4, 2, -6), (4, 4, -4)] [(1, 0, -2), (0, 1, 1), (0, 0, 0)]
(a) Matrix (b)Reduced form
Figure 5.2 Converted system

The last row in Figure 5.2 (b) means 0⋅x+0⋅y=0 which is always true. The solution can be read from the first two rows: (x=-2, y=1).