線性代數 - 對角化的應用

Suppose A is a 3X3 diagonalizable matrix. y(t) = (e^(A^2)t)x for some vector x. A has eigenvalues L1, L2, L3 with the corresponding eigenvectors V1, V2, V3, and x = V1+2(V2)+3(V3), what is y(t)?