Answer:
A. Yes, overdetermined systems can be consistent.
As, the system of equations below is consistent because it has a solution
,
,
.
Step-by-step explanation:
We have,
'Over-determined system is a system of linear equations, in which there are more equations than unknowns'.
For e.g. Let us consider the system,
2x - 3y = 1
3x - 2y = 4
x - y = 1
Plotting these equations, we see from the graph below that,
The only intersection point is (2,1). Thus, x= 2 and y= 1 is the solution of this system.
Thus, over-determined system can be consistent.
According to the options,
Option C is not correct as,
,
implies
.
Hence, option A is correct.
