1. The problem statement, all variables and given/known data I'm supposed to find all the eigenvalues for this 2x2 matrix: 0 2 3 0 2. Relevant equations 3. The attempt at a solution When I tried to do it with no row interchanges, I got the characteristic characteristic equation: λ2-6=0 So, instead of solving this, I interchanged the rows of my matrix to get: 3 0 0 2 And then my determinant would be negative right? I got λ=2,3...I was wondering if I did this right? Any help is appreciated, thanks.