Hi there is anyone able to help me solve this question for apllied differential equations (MATH 2270)? I took the determinants and started solving for eigenvectors but am stuck. The answer for part a is -1 , part b is a > -1, and part c is a

1 1 2. Suppose that we are trying to solve x' = Ax, where A = with a being some a 3 real number. a) What value(s) of a does the general solution of the system include terms of the form teat? b) What value(s) of a does the general solution of the system include only exponential functions? c) What value(s) of a does the general solution of the system include trigonometric functions