Solution to 3D matrix in matlab

Question

In AX = B , if A is 3D(n×n×i) matrix and B is 3D(1×n×i) matrix but more like a single row in 3D, then what will be the dimension of X ? and How to solve this in matlab ?

Answer 1

It seems like you are describing a set of i systems of equations with n equations in n unknowns for each system. A way to solve this would be

 X = zeros( n, ii ); %//pre-allocate
 for jj=1:ii
     X(:,ii) = A(:,:,jj) \ squeeze(B(1,:,jj));
 end