Multiply a 3D matrix with 2d matrix to get a vector

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Suppose:
  • X is a 3x3x6 matrix.
  • Y is a 3x3 matrix
  • Z is a 6x1 matrix
  • Y(ij) = X(ijk) * Z(k) ....(i,j=1,3 and k=1,6) as per Einstein's notation
Y and Z are known. How to obtain X ...

回答(1 个)

David Sanchez
David Sanchez 2014-7-2
The only solution that suits the dimensions of the matrices is this:
Y = rand(3);% Y is a 3x3 matrix
Z = rand(6,1);% Z is a 6x1 matrix
X = zeros(6,3,3); % % X is a 6x3x3 matrix.
for k=1:6
X(k,:,:) = Y/Z(k);
end
  1 个评论
Shashank
Shashank 2014-7-2
Thanks for your reply...It appears that, I wrote the wrong dimensions for matrix X...X(3x3x6) matrix....Apologies for that..

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