# Need to find dot product between two second order tensor

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Ahmar Yanis on 4 Oct 2022
Edited: James Tursa on 4 Oct 2022
Using matlab randi function to generate a (LxM) matrix S and a (MxN) matrix T. Component ranging from 0 to 9 with L,M,N> 2. Calculate R=S.T use for loop to iterate through the admissible values from indices i and j.
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Ahmar Yanis on 4 Oct 2022
% Define the matrix that represents tensor S
S = randi([0,9],3,3)
% Define the matrix that represents vecor u
u = randi([0,9],3,3)
% Apply the dot product
for i =1:size(S,1)
for k=1:size(u,2)
w(i) = dot(S(i),u(k));
end
end
the part which i dont understand is the for loop how will i iterate

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### Answers (1)

James Tursa on 4 Oct 2022
Edited: James Tursa on 4 Oct 2022
If you change the inner loop calculation to this:
w(i,k) = dot(S(i,:),u(:,k));
then you would have dot products between the S rows and u columns. But the result of this is simply going to be the matrix product S*u as I mentioned above. I'm still not sure what you want to do. Can you give a small numeric example of inputs and desired output?
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