How it is possible to sum these two matrix as a vector?

Hi guys.

I'd like to write summation these two matrix as two vectors that defined as C1 And C2 .For writing a program for it in the matter, I need some help, what must I do?

[Lukas Bystricky]

What exactly are you trying to do? My guess is that given i and j, you want to calculate C1 and C2, it that right?

[Habib]

Thanks for your answer.

yes. that's right. My goal is their calculation.

but I think the approach is like below method (I am not sure):

after calculation c1 will be a matrix (but indeed, it is a vector that its components are matrix) that its elements is:

c11=[9i+9i , 9i+13j, 9i+5j, 9i+2j]

c12=[8i+9i , 8i+13j, 8i+5j, 8i+2j]

.

.

.

c44=[2i+14i , 2i-3j, 2i+7j, 2i+10j]

c11, c12 ... c44 are vector and belonging to c1 matrix.

so what is solution?

Answer 1

[Lessmann]

If I understand you right, this should do it.

function [C1,C2] = foo(A,B)
C1 = zeros(16,4);
C2 = zeros(16,4); 

itc = 1;
for itb = 1:4
    for ita = 1:4
        C1(itc,:) = A(itb,ita)+B(itb,:);
        C2(itc,:) = B(itb,ita)-A(itb,:);
        itc = itc+1;
    end
end

[Habib]

thanks.

your answer is correct. but its result is not what I want.

Answer 2

[Bjorn Gustavsson]

Since you have hats on i and j I assume they are column vectors, then your function might very well look something like this

function [C1,C2] = add_transformedvectors(i,j,A,B)
% Fill in help comments

% If ambitious fill in additional argument checks and such
C1 = A*i + B*j;
C2 = B*i - A*j;

HTH