Extract indices from other matrix corresponding to the minimum

I currently have a matrix in which I want to determine the column which corresponds to the minimum of each row, which I can do the following way:

Mat = rand(30, 2) ;
[~, min_idx] = min(Mat, [], 2, 'linear') ;
[~, col] = ind2sub(size(Mat), min_idx) ;

Following that, I would like to use col, to extract the corresponding 3rd dimension in another matrix X:

X = rand(30, 3, 2) ;
Xmin = X(:,:,col) ;

For Xmin I would expect to get a 2D matrix, where each row corresponds to the index col in the 3rd dimention extracted from X, however that is not the case for some reason. Do you know how I could accomplish the above?

Thanks for your help in advance.

Answer 1

[Matt J]

Mat =  rand(30,2);
X = rand(30, 3, 2) ;


[~, min_idx] = min(Mat, [], 2, 'linear') ;

Xp=reshape( permute(X,[1,3,2]),[],3);
Xmin=Xp(min_idx,:)

Xmin = 30×3

0.0712 0.3075 0.8858 0.6488 0.0418 0.7136 0.9145 0.4471 0.9905 0.1935 0.1567 0.1708 0.1016 0.3393 0.3916 0.8534 0.8261 0.4123 0.2960 0.7503 0.8993 0.1845 0.9356 0.2080 0.7731 0.7444 0.5096 0.5429 0.7494 0.9430