Replacing all the elements of one matrix with new values (one to one mapping)

I have a large matrix of size 50000×3. I would like to replace the values of the elements with a new values. To illustrate my problem, for example, let's say F is as follows.

    F = [22 60 100;
         11 13 14;
         10 12 15;
         16 15 17;
         17 18 25;
         13 19 20;
         20 30 22;
         10 11 12]

    unique(F)' = 10 11 12 13 14 15 16 17 18 19 20 22 25 30 60 100

Now I want to assign new values to each element of F. The assignment is such that the lowest value of F maps to 1, the second lowest value maps to 2. It continues with an increment of 1 until it reaches the highest value in F. In the example above, I want to assign 1 to 10, 2 to 11, ..., and 16 to 100 and construct a new F as follows:

    Fnew = [12 15 16;
            2  4  5;
            1  3  6;
            7  6  8;
            8  9  13;
            13 10 11;
            11 14 12;
            1  2  3]

    unique(Fnew)' = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Could someone instruct me how to construct such a matrix from F?

Answer 1

[Roger Stafford]

 [~,~,Fnew] = unique(F(:));
 Fnew = reshape(Fnew,size(F));