Let x'=Ax be a system of differential equations, where A is a real constant 3x3 matrix with exactly two different real eigenvalues.

which one of the following statements must holdonly one of them follows from the data)

a)there is no base of solutions in the form V(e^at) where a is a real number and V is a real vector

b)there is a solution in the form V(e^at) where a is a real number and V is a real vector

I think that the two follows

Thank's in advance