Two innings after Matt Holliday did one of those little things to get the Cardinals back in the game, he and several teammates did the big things to secure their first victory of the season.

Holliday hit the first of the Cardinals’ three home runs and created the lead that manager Mike Matheny’s new late-inning relay of relievers would expertly defend in a 6-1 win Tuesday at Arizona’s Chase Field.

Holliday helped create the Cardinals’ first run off Diamondbacks starter Trevor Cahill with a productive groundout in the fourth inning and then cracked a 1-1 tie in the sixth with a two-run bolt into the left-field seats. Homers by Pete Kozma and Jon Jay followed and added to a lead that the Cardinals’ heat-seeking bullpen preserved.

Edward Mujica pulled the Cardinals out of a bases-loaded mess in the sixth inning with a 94 mph fastball. Trevor Rosenthal’s fastball hit 100 mph on the final pitch of back-to-back strikeouts in his first look at the eighth inning. And Mitchell Boggs, the Cardinals’ interim closer with Jason Motte injured, closed the game with a spotless ninth.

The blend of power at the plate and power from the mound made a winner of starter Jaime Garcia in his first official start since leaving the mound with a shoulder injury last October. Garcia allowed one run on two hits through 5 2/3 innings. The only run against Garcia (1-0) was a homer in the second inning, and he was able to defy the Diamondbacks for half of the game.