Matlab Function to Compute Matrix Operations

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So I want to make a function to compute the result of the following equation:
My matlab .m function file starts off with:
function dNdt = compute(t, N, E, A)
But I am having trouble figuring out how to add up matrices...and particular rows/columns at that. I know I have to use the symsum command but mine is a little different from all the examples I've seen since I'm dealing with matrices. Any idea on how to go about this?

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dpb
dpb 2014-4-1
In Matlab the RHS is just
N.*(E+a*N)
where
size(N)=[3,1]
size(a)=[3,3]
That's taking the shortcut of not expanding the diagonal matrix the multiplication of which reduces to the element by element of the diagonal elements.

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