Linear Algebra

[Purifier]

Please have a look on the linear system below:

ax + by + cz + dt = m
a'x + b'y + c'z + d't = n

(where a,b,c,d,a',b',c',d',m,n are real)

Supporse the vectors (a,b,c,d) and (a',b',c',d') are not linear dependent.

1) Prove the system has got a soution.

2) Prove there exist three vectors {u0,u1,u2} in R4 as each solution can be expressed by the form: S = u0 + j(u1) + k(u2)
(j and k are scalar)

Thank you very much..