- #1
snoggerT
- 186
- 0
For which value of k does the matrix
A=
|4 k|
|-7 -5|
have one real eigenvalue of multiplicity 2?
- I tried by setting this problem up with det(A-(lambda)I) and trying to solve like that, but I can't seem to get it that way either. I am getting (lambda)^2+(lambda)-20+7k=0, but I don't know what to do from there. Please help.
A=
|4 k|
|-7 -5|
have one real eigenvalue of multiplicity 2?
The Attempt at a Solution
- I tried by setting this problem up with det(A-(lambda)I) and trying to solve like that, but I can't seem to get it that way either. I am getting (lambda)^2+(lambda)-20+7k=0, but I don't know what to do from there. Please help.