Dave Jones gave his thoughts after the defeat at Portman Rd.
"We started brightly but the second half was not the best," he said.
"It had 0-0 written all over it as I didn't think they were causing us problems but you can't give the ball away the we did.
"There is no hiding place in this world and at this level. It is a good job (Matthews) is a young player and he has a long time to get over it.
"We all score own goals but you are taught as a young boy to head the ball high and wide and away from goal. He has been caught again for the second goal.
"A lot of players, not just Adam, didn't step up to the plate."
"It is one you will mull over many times but you can't let it affect you. We haven't got time to mollycoddle anybody so he has to learn quick."
Ipswich manager Roy Keane was delighted.
"It was a good performance, a good game and a good victory, and we deserved it after the first 10 minutes when we were under a lot of pressure," said Keane.
"The players reacted well and I knew they would. They did well against a good Cardiff team. Cardiff were missing some important players but they are still a handful.
"For the first 10 minutes we could not get out of the box never mind the half but we stuck at it, which you have to do."
Teenager forward Connor Wickham put in a fine performance alongside Scotland on his first start for the club.
Keane added: "He and Jason gave us that foundation with their work rate and hold up play.
"Presence is a good word. The top players have presence. He gives us something different. Connor has a bit of everything and we are pleased with him.
"In an ideal world I would like to hold him back, but we didn't get the players we wanted so we have to use him."