Part-5: A geometric Notion of Singularity

Suppose we have a system,
a + b = 10
2a + 2b = 24

But in this system, if the solution is 0 0 , now it'll turn from a contradictory system to a redundant system. But It'll remain as Singular system. So, what I'm trying to mention is that, whether the system is singular or non-singular, this is not dependent on a constant to be determined.

So, in this case, for the equation
a + b = 0
2a + 2b = 0

Figure will be like-