"The inquiry will look at what could have or should have been done to prevent the attack", she told reporters.
"I think it's hard to analyse the way you are changed by parenthood but you feel it in your responses and empathy", she said.
China expects that the trip will help the two sides to increase mutual understanding and trust, expand exchanges and cooperation in various fields and inject new impetus into a comprehensive strategic partnership between the two countries, said the ministry.
"Thank you PM @jacindaardern and New Zealand for your honest empathy and support that has won the respect of 1.5 billion Muslims after the terrorist attack that shook the Muslim community around the world".
Ms Ardern has repeatedly played down the Huawei spat and did not directly address it on Monday.
"While New Zealanders and Muslim communities around the world are both grieving and showing compassion for one another, they are also quite rightly asking questions on how this terror attack was able to happen here", Ardern said.
London Mayor Sadiq Khan wrote a personal letter to the Prime Minister
Prime Minister Scott Morrison and opposition leader Bill Shorten will discuss the issue of violent online content with representatives from social media giants in Brisbane on Tuesday. But they do not point it out in an attempt to blame.
She is to travel to Beijing on Sunday then hold a full day of meetings Monday with the leaders of New Zealand's largest trading partner, including President Xi Jinping, before returning home the next day.
"Our job is to share love and support for our Muslim communities around the world", she said.
"I'm not sure about the status of bodies from other nationalities but I can say we went through the process as quickly as possible", a spokesperson for the Indian High Commission in Wellington said.
"It's important we get this right so we can learn from past mistakes", he said.
The Project host's heartfelt speech, which has has racked up more than 10 million views since it aired, saw Aly confess he was "not shocked" by the shootings.
Jacinda Ardern was interviewed by Waleed Aly on the The Project Australia.