Complex multiplication giving wrong answer

I am trying to extract positive sequence currents using method of symmetrical components .However I am getting wrong answer. The following is my test code.

a=exp(i*2*pi/3)

P1=[1 a a^2]

%Balanced  Voltages and Unbalanced Currents

Va=5*exp(j*53*pi/180);

Vb=7*exp(-j*164*pi/180);

Vc=7*exp(j*105*pi/180);

V1=(1/3)*P1*[Va Vb Vc]'

Va1=(1/3)*(Va+a*Vb+a^2*Vc)

Though V1 and Va1 should be same, I am getting different answers. Please tell me whats wrong in the calculation of V1 ( Va1 calculation method gives correct answer)

Answer 1

[Roger Stafford]

The trouble lies in the line

   V1=(1/3)*P1*[Va Vb Vc]'

You should have used this:

   V1=(1/3)*P1*[Va Vb Vc].’

As you have written it, [Va Vb Vc]' not only takes the transpose of [Va Vb Vc], it also changes each element to its complex conjugate, which you don’t want in this example. Read about it at:

http://www.mathworks.com/help/matlab/ref/ctranspose.html