How to construct this matrix without using two for loops?

Hi, I'm trying to construct a matrix in the following manner:

sz=10;
V=rand(sz,sz);
X=rand(sz,sz);
for iter1=1:sz
    for iter2=1:sz
        A(iter1,iter2) = sum((V(:,iter1)*V(:,iter2)').*X,[1 2]);
    end
end

Is there a way to do this without for-loops? I'm sure there must be a way that I haven't been able to think of!

[DGM]

What are i and j? By default, both i and j are sqrt(-1), which isn't a valid index. Are they supposed to be iter1 and iter2, or are they defined elsewhere and constant within the scope of the loops?

[Mohit Kumar]

My bad, i mean iter1 and iter2. Edited the question. Thanks.

Answer 1

[Mohit Kumar]

I was able to figure out the answer to this. The formulation can be written as

A = V' * X * V;