MATLAB: Need to find value in one matrix that corresponds to the max value of each row in another matrix

matrices

I have a matrix let's say, A. I have found the max value of each row and the index to which it corresponds. Now I need to find the values in another matrix, B, that correspond to the max indices of A.
A = [20 1 3;
     7  3 4;
     6  9 5]
[max_value max_index] = max(A,[],2)
So that
max_index = [1; 1; 2]
B = [4  6  11;
     10 20 15;
     1  5  9]
However, every way I can think to do this gives me the following output:
B(max_index) = [4; 4; 10]
Because max_index only includes the column number from A where max_value is instead of the row and column associated with the max_value. Is there a way to get
B(max_index) = [4; 10; 5]
I have tried transposing max_index, this does nothing to help. I have tried using a for loop, but may not have used to correct implementation here. Any help would be greatly appreciated! Thanks!

Best Answer

[m,n]=size(A);
L=sub2ind([m,n], (1:m).' , max_index);
result = B(L)
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