How do I find for which K parameter we have zero solutions, single solution and infinite number of solutions? I can't seem to do it with the Gaussian Elimination.
Hello, GIPC!
Here's a start . . .
Consider the determinant of the system: .
Find for which parameter we have zero solutions, single solution and infinite number of solutions.
Factor from column 3: .
Evaluate: .
And we have: .
. . Hence: .
Can you take it from here?