How do I find solution depending on parameters a,b in RR?
2x+ay-3z=2
x+y-z=1
-x+by+z=3
1 Answer
If
then
but if
Explanation:
I'm using Gaussian elimination with smart choice of the first equation and substitution.
Add second equation to third and subtract from first two times
Combine like terms
We got
Assuming
Substitute
Move known terms to the right
We got
Substitute
Move known terms to the right
Simplify and we finally got it