I need to calculate the pseudoinverse of a 3x2 matrix A where the first row of A is (1,i) the second is (0,0) and the third is (-1,-i). Then I need to determine the best aprox of Ax=b with b=(1,1) transposed.

Should I be using Single Value Decomposition (I have to do it by hand)? If so, how do I go about it?