How do I index into a matrix with a vector to extract the jth column for each row?

Is there an easy way to index into a matrix with a vector to extract the jth column of the matrix for each row? As an example, lets take the 4 x 4 matrix created by

A = magic(4);

A =

      16     2     3    13
       5    11    10     8
       9     7     6    12
       4    14    15     1

I have a vector which describes which columns I'd like to extract:

ii = [1; 2; 1; 2]

ii =

     1
     2
     1
     2

Is there a straightforward way of indexing into the matrix to return the vector:

result =

      16
      11
       9
      14

Answer 1

[Star Strider]

There is. Use the sub2ind function:

A = magic(4);
ii = [1; 2; 1; 2];
ix = sub2ind(size(A), [1:4]', ii);
result = A(ix)

result =

      16
      11
       9
      14

Answer 2

[dpb]

>> A(sub2ind(size(A),[1:size(A,1)],ii))
ans =
  16    11     9    14
>>