convert vector a to b

I have a vector, a:

a = [1 2 4 7 3 5 8 9 6 12 10 11 13 14] 

I want to create a vector, b, that writes the value of each element in this vector. The result for the vector I gave as an example is:

b = [1 2 5 3 6 9 4 7 8 11 12 10 13 14]

So, a vector in the value of 3 is the 5th rank in the b vector 3 as in the order to write 5.

How do I convert a vector to b?

[Image Analyst]

I don't understand. So starting with "a", the 3 is in the 5th element. Since we don't yet have "b" (it's not been created from "a" yet), what do you mean by "3 is the 5th rank in the b vector". What do you mean by "rank" of the vector? The 3 is in element 4 of "b", and there is a 5 in element 3 of "b". But I don't really know how each element of b is created.

[Image Analyst]

OK, I think David figured it out. I guess rank really means the sort order rather than rank of a matrix. I never was able to understand "the value of 3 is the 5th rank in the b vector 3 as in the order to write 5" but I guess David luckily was. Be sure to see David's clairvoyant answer below.

Answer 1

[David Goodmanson]

Hi nurhayat,

try

[~, b] = sort(a)

so that b is the set of indices of a such that a(1) = 1, a(2) = 2, a(5) = 3, a(3) = 4 etc. and generally a(b) = 1:14, sorted order.