permuting one matrix w.r.t. another matrix

I have two large matrices a and b. for instance

a=[1 2 3;4 5 6; 7 8 9; 10 11 12];

b=[1 3 2; 2 1 3; 3 2 1; 3 1 2];

how to get the matrix a in the form:

a = [1 3 2; 5 4 6; 9 8 7; 12 10 11]

This is actually the permutation of matrix a w.r.t. matrix b.

How to achieve this goal in matlab?

Answer 1

[Stephen23]

Use sub2ind, e.g.:

>> a = [1,2,3;4,5,6;7,8,9;10,11,12]
a =
    1    2    3
    4    5    6
    7    8    9
   10   11   12
>> b = [1,3,2;2,1,3;3,2,1;3,1,2]
b =
    1    3    2
    2    1    3
    3    2    1
    3    1    2
>> S = size(a);
>> [R,~] = ndgrid(1:S(1),1:S(2));
>> a = a(sub2ind(S,R,b))
a =
    1    3    2
    5    4    6
    9    8    7
   12   10   11

[tanveer haq]

Thank you for reply Stephen Cobeldick. It worked.

Answer 2

[Walter Roberson]

a((b-1) * size(a,1) + (1:size(a,1)).')

This requires R2016b or later.

[tanveer haq]

Thank you for reply Stephen Cobeldick and Walter Roberson. It worked.