How to rearrange/reconstruct the matrix with the indeces?

I have at sample matrix

A = [ 11, 12 ; 21, 22 ; 31, 32 ; 41, 42];

and index matrix

Idx = [ 2 2 ; 1 2 ; 3 4 ; 4 1];

I want to rearrange the matrix A to

RA = [ 12, 22 ; 11, 22 ; 13, 24 ; 14 , 21];

This result means that the first columnn of the matrix RA is rearrange of the first columnn of the matrix A by the first column of the index matrix Idx

and

the second columnn of the matrix RA is rearrange of the second columnn of the matrix A by the second column of the index matrix Idx

Answer 1

[KALYAN ACHARJYA]

"This result means that the first columnn of the matrix RA is rearrange of the first columnn of the matrix A by the first column of the index matrix Idx";

and

"the second columnn of the matrix RA is rearrange of the second columnn of the matrix A by the second column of the index matrix Idx:

Doubt: I have doubt between text description and RA result, maybe I'm wrong?

A = [ 11, 12 ; 21, 22 ; 31, 32 ; 41, 42]
Idx = [ 2 2 ; 1 2 ; 3 4 ; 4 1]
my_RA=[A(Idx(:,1),1),A(Idx(:,2),2)]
your_RA= [ 12, 22 ; 11, 22 ; 13, 24 ; 14 , 21]

Result:

A =
    11    12
    21    22
    31    32
    41    42
Idx =
     2     2
     1     2
     3     4
     4     1
my_RA =
    21    22
    11    22
    31    42
    41    12
your_RA =
    12    22
    11    22
    13    24
    14    21