In MATLAB: Sort an Array and then Undo that sort

PROBLEM:

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Imagine I have an array to be sorted and after I sort it I want to UNDO that sort so that the array came back to the initial condition.

How?

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 A=[10 9 7 4 5 7 5 3 ];

>> [SORTED_A,IX]=sort(A)

SORTED_A =

     3     4     5     5     7     7     9    10

IX =

     8     4     5     7     3     6     2     1

>> UNSORTED=1:length(A)

UNSORTED =

     1     2     3     4     5     6     7     8

>> NEW_INDEX(IX)=UNSORTED

NEW_INDEX =

     8     7     5     2     3     6     4     1

>> NEW_A=SORTED_A(NEW_INDEX)

NEW_A =

    10     9     7     4     5     7     5     3

>> isequal(A,NEW_A)

ans =

     1