Shortly afterward, Hamburger lost midfielder Piotr Trochowski, who was making his debut after arriving from Bayern during the winter break. Trochowski injured an ankle.
After an even first half, Bayern dominated after the interval.
"I am quite happy with our performance, especially in the second half," Magath said.
Bayern captain Oliver Kahn made a good one-handed save to block Sergej Barbarez's header after 19 minutes.
In the 22nd, Hamburg goalkeeper Martin Pieckenhagen mistimed his exit and Pizarro rose at the far post to head Bayern into the lead from the home team's only real chance in the first half.
Just before halftime, Kahn made another good save, this time stopping a close-range shot from Naohiro Takahara.
Seconds into the second half, Bayern hit the post, Pizarro shot back into the goal but Daniel van Buyten cleared on the line.
The pressure paid off in the 47th, when Schweinsteiger beat Christian Reinhardt to the ball and slipped it under Pieckenhagen. Schweinsteiger had come in for Lizarazu.
In the 55th, Bayern went up 3-0 when Torsten Frings sent a long pass to Makaay. The Dutch striker lifted the ball over Pieckenhagen, who had come off his line. The ball struck the underside of the crossbar and bounced in.
Former Chelsea chairman Ken Bates completed a ?10 million (US$18.7 million) takeover of Leeds United on Friday, lifting the threat of the debt-ridden club going into financial administration.
Bates, 73, bought a 50 percent stake in the former Premier League side and will succeed Gerald Krasner as chairman.
The takeover by Bates' Geneva-based consortium was finalized during the early morning hours.
"This deal ensures the medium to long-term survival of the club and I believe Mr. Bates' proposals are totally for the benefit of the club," Krasner said on the Leeds Web site. "We are content that under Mr. Bates, Leeds United will continue to consolidate and move forward."
Bates left Chelsea 10 months ago after the London club was bought by Russian billionaire Roman Abramovich. Bates recently made an unsuccessful bid to buy Sheffield Wednesday.
Leeds was relegated from the Premier League last season and sold off all of its top players. The club is currently 14th out of 24 clubs in the Football League Championship, or former division one.
"I am delighted to be stepping up to the mantel at such a fantastic club," Bates said. "I recognize Leeds United is a great club that has fallen on hard times.
"We have a lot of hard work ahead of us to get the club back to where it belongs in the Premiership and with the help of the fans, who have stuck by the club through thick and thin, we are going to do everything in our power to ensure that happens."
Bates said he would retain Kevin Blackwell as manager.
Beckham and England
Sven-Goran Eriksson left no doubt Friday about picking David Beckham on his team as England attempts to qualify for the 2006 World Cup.
The Real Madrid midfielder has been in a slump at the Spanish club, and some have suggested his place on the right side of the England midfield should be taken by Man City's Shaun Wright-Phillips.
"Of course David is part of my plans," Eriksson said. "He's captain, he's playing regularly for Real Madrid and that's not bad.