MATLAB: Order columns of matrix based on other matrix

Question

So in one matrix A I have the order of the elements

A =  3     1     3     1    3
     2     2     2     2    1   
     1     3     1     3    2  

and in the other matrix B are the actual values

B =  1     5     5     1    7
     2     6     7     2    4  
     4     8     8     6    5   

How can I use the columns of A to order the columns of B?

Result = 4     5     8     1    5
         2     6     7     2    7  
         1     8     5     6    4

So e.g. for the 5th column: 5 becomes the first value, 7 the first and 4 the third.

result(1,5) = B(A(1,5), 5); % A(1,5) = 3
result(2,5) = B(A(2,5), 5); % A(2,5) = 1
result(3,5) = B(A(3,5), 5); % A(3,5) = 2

Can I do this without using a loop?

Answer 1

Result=B(A+[0:3:12]);