Find the dimension of and a basis for the following subspaces of C^3:

(i) The set of all complex multiples of (1,i,1-i)

(ii) The plane z_{1}+z_{2}+(1-i)z_{3}=0

(iii) The range of the matrix A with rows (1,i,2-i) and (2+i, 1+3i, -1-i)

(iv) The kernel of the same matrix.

(v) The set of vectors that are orthogonal to (1-i, 2i, 1+i).

Please help. I am a bit confused.

Thank you