- #1
Robb
- 225
- 8
Homework Statement
Find the values of k so that each of the following systems in unknowns x, y, and z has (i) a unique solution, (ii) no solution, (iii) an infinite number of solutions.
x + y = kz = 1
x + ky + z = 1
kx + y + z = 1
Homework Equations
The Attempt at a Solution
I really don't know where to begin with this. Is there a systematic way to solve? It seems empirical to me but that doesn't make sense either.