Why can't I instantiate operator<<(ostream&, vector<T>&) with T=vector<int>?

In thinking about C++ iterator question, I wrote this sample program:

#include <vector>
#include <iostream>
#include <iterator>
#include <algorithm> 

template <class T>
std::ostream& operator<<(std::ostream&os, const std::vector<T>& v) 
{ 
    os<<"(";
    std::copy(v.begin(), v.end(), std::ostream_iterator<T>(os, ", "));
    return os<<")";
}

int main()
{
    std::vector<int> v(3);
    std::vector<std::vector<int> > vv(3, v);
    std::cout << v << "\n"; // this line works
    std::cout << vv << "\n"; // this line produces error
}

I compile this program with gcc and get the typical 100 lines of errors. The relevant part, I believe, is:

it.cc:19: instantiated from here

/usr/include/c++/4.4/bits/stream_iterator.h:191: error: no match for ‘operator<<’ in ‘((std::ostream_iterator >, char, std::char_traits >)this)->std::ostream_iterator >, char, std::char_traits >::_M_stream << __value’

Why does this fail? In my templated operator<<, I try to specify that any vector, regardless of type, is printable. So why doesn't std::vector<std::vector<>> print?

EDIT: Using the following code in the template function makes it work

#if 0
    std::copy(v.begin(), v.end(), std::ostream_iterator<T>(os, ", "));
#else
    for(typename std::vector<T>::const_iterator it = v.begin();
        it != v.end();
        it++) {
        os<<(*it)<<", ";
    }
#endif