Track changes in the rows to get a new variable in Matlab

I have a double variable called 'change2' with 3 columns and 40000 rows. The variable is sorted by c2 and then date (c1).

           c1 c2 c3
 change2=[2009 1 42
  2010 1  42  
  2011 1  559
  1995 12 100
  2000 12 100
  2000 12 111 
  2003 12 100...]

I would like to get a new variable that has the first row in which a code from c2 appears for the first time and then the rows in which you observe a change in c3 for the same c2. For instance:

           c1 c2 c3
 change2=[2009 1 42
  2011 1  559
  1995 12 100
  2000 12 111 
  2003 12 100...]

Can someone help? Thanks

[Azzi Abdelmalek]

What if

change2=[2009 1 42
2010 1  42  
2011 1  559
1995 12 100
2000 12 100
2000 12 111
2000 12 141
2000 15 124 
2003 12 100]

[Maria]

That is impossible. Your last row would have to be next to the other rows that have in c2 the value 12. So changing the order of your two last rows, I would get:

change2=[2009 1 42
2011 1  559
1995 12 100
2000 12 111
2000 12 141
2003 12 100
2000 15 124 
]

Answer 1

[Azzi Abdelmalek]

Edit2

change2=[2009 1 42
2010 1  42  
2011 1  559
1995 12 100
2000 12 100
2000 12 111
2000 12 111
2000 12 141
2003 12 100 
2003 15 124]
c2=change2(:,2);
c3=change2(:,3);
ii=[1 ;diff(c2)~=0]
jj=[1 ;diff(c3)~=0]
change2(~any([ii jj],2),:)=[]

%or in one line

change2(~any([[1 ;diff(change2(:,2))~=0 ] [1 ;diff(change2(:,3))~=0]],2),:)=[]

[Maria]

It goes through the variable and keeps for each year one row. If for instance I have this:

change2=[2007 1 42
2008 1  42  
2009 1  42
1995 12 100
1996 12 101
1996 12 154 ]

I get:

change2=[2007 1 42
2008 1  42  
2009 1  42
1995 12 100
1996 12 154 ]

And I would like to get:

 change2=[2007 1 42
1995 12 100
1996 12 101
1996 12 154 ]

Changes may occur in the same year.

[Azzi Abdelmalek]

I have edited the answer