1. The problem statement, all variables and given/known data So I have been having trouble with finding the proper eigen vector for a complex eigen value for the matrix A=(-3 -5) . .........................(3 1) had a little trouble with formating this matrix sorry The eigen values are -1+i√11 and -1-i√11 3. The attempt at a solution using AY-λY=0 (where Y is a vector (x, y) I obtain two different equations : 3x+y-(-1+i√11)y=0 and -3x-5y-(-1+i√11)x=0 these simplify too: 3x=(i√11 -2)y and 5y=(-2-i√11)x no I know that the right eigen vecotor is (i√11 -2,3) but why isnt (5, -2-i√11) one? they both work when I plug them in.