A symmetric 3 by 3 matrix m has the eigenvalues lambda1 1

Question

A symmetric 3 by 3 matrix [M] has the eigenvalues (lambda)_1 = 1, (lambda)_2 = 2, and (lambda)_3 = 5. The eigenvector associated with eigenvalue 1 is

x_1= [1;1;0] (This is a single column matrix)

And the eigenvector associated with eigenvalue 2 is

x_2=[1;-1;1]

Determine matrix [M]