The Hoops fought back from two goals down to claim a 2-2 draw and a point against the table-topping Highlanders in the Scottish Premiership.
And they must show even more fighting spirit to wipe out a two-goal deficit and rescue their Champions League play-off when the Kazakhstan champions come calling on Wednesday night.
But, despite injury concerns ahead of one of the biggest games of the season, Matthews has faith in Celtic's ability to produce the goods on the night.
The right-back said: "We are confident we can get the result we need. We showed in the first leg that we can cause them problems going forward.
"We just need to keep it solid at the back.
"I think we will have a few players back to make the squad stronger, which is always good, but I think with the team we've got anyway we can cause them problems."
Georgios Samaras and Kris Commons are most likely to recover from injury ahead of the European clash, with James Forrest and Derk Boerrigter rated 50/50.
Anthony Stokes is a doubt and Beram Kayal has all but been ruled out after a groin strain forced him out of the Inverness game.