Goals from Cav Miley and Lewis Beale either side of half-time meant secured Eastleigh a place in the third round of the FA Trophy at The Silverlake Stadium in front of 718 spectators.
Manager Ben Strevens made three changes to the team that was defeated by Hartlepool on Tuesday night as Ross Flitney was back in goal for the FA Trophy again and Ben Scorey returned in the defence as Beale made his first start for the club in attack.
The Spitfires got off to the brighter of starts, and held a lot of possession in the opening period of the game, winning plenty of set-pieces but not troubling the opposition keeper.
Sam Smart, after scoring his first league goal for Eastleigh in the week, was the first to test the Matlocks’s goalkeeper, with a low, rasping drive that Jon Stewart had to be on his toes to parry away.
Matlock had the best chance of the half, when Tomas Poole broke free of the home defence to get one-on-one with Flitney, but the Eastleigh goalkeeping coach stood his ground and made a solid save.
Flitney made another superb stop minutes later, when Marcus Marshall escaped Alex Wynter to fire in a shot, but it was pushed wide by a diving Flitney.
Just before the interval, the deadlock was broken. Miley moved forward from his position at wing-back, collected the ball on the edge of the area and drilled a powerful effort into the bottom corner, leaving Stewart helpless.
Eastleigh doubled the lead less than a minute after the restart as Jack Payne picked up possession in his own half to ping a ball over the Matlock defence for Beale, who shot past Stewart to score on his starting debut.
Matlock pulled a goal back with 20 minutes to play, after Jordan Sinnot dribbled around Flitney to square for Marshall, who poked it into the empty net.
Eastleigh were awarded a penalty in the 73rd minute, after Ben Gordon fouled Smart, who’d run nearly the length of the pitch to get into that position. Scott Rendell stepped up, but Stewart got down quickly to make the save.
Second half substitute Tyrone Barnett nearly made sure of the victory but his low effort was deflected just wide for a corner, which was promptly dealt with by the visitors.
The match finished 2-1 Eastleigh and today they were drawn away Harrogate Town in the third round of the FA Trophy to be played on Saturday 8th February. Eastleigh return to league action on Saturday as they take on Chesterfield at home.