The visitors won by 278 runs and levelled the series 1-1.
"We didn't bat for time. To be honest the wicket was pretty demanding and it was the fourth innings. Ashwin was bowling brilliantly. He was putting a lot of pressure from one end and from the other end the rest of the bowlers put a lot of pressure on us.
"We just couldn't hang on. It wasn't a realistic target to be achieved on the final day of a Test match. But it's just that we wanted to approach it in a positive way," said Mathews after the day's play had ended early.
"We didn't play our best cricket. We lost the Test with our first innings batting. I thought the wicket was very good to bat on. We just didn't get close to their target, and gave them a healthy lead for them to capitalise on in the second innings.
"They played very positively. Once they got that 400-run mark, it was quite difficult for us to win the match. But we still had to approach it in a positive way but unfortunately, the batsmen didn't play well in the second innings either," said the skipper.
R Ashwin finished as the standout spinner in the match, taking his second five-wicket haul, and 17 wickets in the series so far. He also dismissed Kumar Sangakkara four times out of four as the left-handed batsman retired with a loss in his last match.
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