Multiplying each row vector with each column vector.

2018 4 12
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I have two matrix X and Y of shape 7800x784 and 784x7800. X !=Y'. I want to multiply each row of X with each column of Y to get a 7800x1 matrix. Basically I want the diagonal elements of X*Y matrix without performing the redundant operations. Is there a vectorised way of performing this operation? Thanks!!

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KSSV
KSSV 2018-4-12

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X = rand(7800,784) ;
Y = rand(784,7800) ;
Z = zeros(1,7800) ;
for i = 1:7800
Z(i) = X(i,:)*Y(:,i) ;
end

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