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

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 ...

Answer 1

[David Sanchez]

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

[Shashank]

Thanks for your reply...It appears that, I wrote the wrong dimensions for matrix X...X(3x3x6) matrix....Apologies for that..