Majka leads Lotto NL-Jumbo's George Bennett with Team Sky's Ian Boswell third in the overall standings.
Daniel Jaramillo of UnitedHealthcare Pro Cycling is leading the King of the Mountain competition.
Monday's stage included a violent crash by Latvian rider Toms Skujins, who suffered a concussion, a broken collarbone and grazing that forced him to withdraw from the race.
The seven-day race continues on Wednesday with a 159.5-km ride from Santa Barbara to Santa Clarita.
It is the first time the race has been staged as part of the World Tour, a designation that organisers hope will draw more top names in the sport from Europe.
However this year it also being held at the same time as the Giro d'Italia, with many of the sport's biggest names competing there rather than in California.
The race finishes in Pasadena on May 20.
(Editing by Greg Stutchbury)
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