Given three eigenvectors and three eigenvalues, how would you go about finding BOTH non-symmetric matrix A and symmetric matrix B?

EDIT 7/27:
Sorry for not being specific enough~ In the problem I am given three linearly independent 4x1 eigenvectors and their respective eigenvectors. 

Then, I am asked to find a non-symmetric matrix A and a symmetric matrix B. Matrices A and B share these eigenvectors and eigenvalues.