- #1
shrabastee
- 20
- 0
Homework Statement
(q-1)x+py=0(1-q)x-py=0
x+y=1
In this linear equation system:
a. if p and q lie between 0 and 1 how many solutions does this system have and why?
b. Ignoring the above condition, find the values of p and q so that the system has NO solution.
Homework Equations
Umm..
The Attempt at a Solution
The equation sets are consistent and yield a non-trivial solution if det A is non-zero, and the equations are linearly independent, right? Or do I need to look at ranks and augmented matrices and all those things?
I was thinking of equating the determinant of the coefficient matrix to 0, to see when they would be inconsistent and hence unsolvable, and i got p=0 that way, but I don't think it's right. I get very confused with this unsolvable/undefined/multiple solutions business, can someone please give me a step-by-step method to check whether a given set of equations is solvable? And also help me with thi sum? Thanks. :)