Matrix? No idea on that note.
Space exploration? Maybe, but at most it will probably be another noah's ark episode.. just a more technologically advanced one.

Most likely to happen:
A few key humans will be sent up into space. And a nuclear Armageddon will take place (by humans choice to clean up the world). And then when everything is settled, no more nuclear radiation and stuff, those key people will come back down to earth and re-populate the land. It will probably be soon, I'm sure the government has a plan like this stashed away somewhere in-case of an emergency.

Besides that, there is currently no other way to save the human race. Migrating to another planet is not a very logical method, as space travel costs billions, and to get another PLANET ready for human AND other species to live on will take at least as long as it took for humans to finally make it up into space. We would have to know ALOT about another planet before we even think of inhabiting another planet. We humans do not even know enough about our own planet, so this option would only be applicable in maybe a thousand years time.

Other alternatives? Everyone ABANDONS technology. We go back to the stone age, to let mother earth repair herself. OR we can find a way to generate 100% clean energy. And obviously we would have to find a way to properly dispose of our waste products.

Just my 2 cents.