[Solved] Taking derivative of a function

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Let F(p,q) be 

F(p,q) = sum(j, [ r(j) - sum(i, p(i,j)*q(i,j)) ]^2 )

Then dF/dp is the matrix A formed by elements 

A(i,j) = 2 * [r(j) - sum(k, p(k,j)*q(k,j))] * (-q(i,j))

dF/dq is the matrix B formed by elements 

B(i,j) = 2 * [r(j) - sum(k, p(k,j)*q(k,j))] * (-p(i,j))

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solved Taking derivative of a function