Somewhere I'm going wrong in my math and keep getting the wrong answer.

(1 point) Consider initial value problem 9 k y = k 1 y, y(0) = yo, where k is a real parameter. a. Determine all values of k for which the coefficient matrix has distinct real eigenvalues. Enter NONE if there are no values of k for which the coefficient matrix has distinct real eigenvalues. help (inequalities) b. Determine all values of k for which the coefficient matrix has distinct complex eigenvalues. Enter NONE if there are no values of k for which the coefficient matrix has distinct complex eigenvalues. help (inequalities) c. For what values of k found in part (a) does vy1 (t)2 + y2 (t)2 -> 0 as t -> 0 for every initial vector yo ? Enter NONE if there are no values of k for which this is true. help (inequalities)