So my linear algebra class is just starting.
So while I realize this isn't a linear algebra thread, it's in a realm of difficultly similar to that of Pre-Calculus
What are the value(s) of α such that the system has:
a) no solution
b) a unique solution
c) infinite number of solutions
*Solve case c ( with many solutions) parametrically
x + y = 1
αx + 2y = 2
For case b, I'm getting that α can be anything EXCEPT 2. Thus x would be equal to 0, and y equal to 1.
For case c, the only solution I can seem to come up with is α=2.
I'm not sure there is any solution to case a, and I'm unsure of case b and c.
Normally I wouldn't be stuck on a question of system of equations, but this really has me stuck.