HI! friends i need help to solve this exercise, i don't know how to do, so help me please!!:

A) V1 & V2 two vector spaces and

Determine the basis for: y .

B) From the base standard, determine the matrix of endomorphic characterized by verifying:

1- (core of ) is the space vector defined by the equations:

2- y are eigenvectors of eigenvalues 1 and 2, respectively.

Many thanks