Entire World accepted that Tamil is the mother language of all Dravidian languages, so we are not expecting you or kannadia to say.
Tamil has litratures written before 2000 years ago, but the Kannada doesn't even has litratures written before 1000 years(If you have something of that sort please reveal it to the world, then the world will accept). And no other dravidian language has such a old and rich litratures.
This is the proof for Tamil is older and elder than all.
One more, I would like to state here. The researchers identified that the language of Indus Valley Civilization(oldest civilization in India before Aryans, sanskrit) is Tamil. Read the below link to know about that.