Victoria's police will get "whatever they need" to take the fight to terrorism in the wake of the deadly Brighton siege, Premier Daniel Andrews has promised.
While questions remain over the attack that left a city reeling, Victorian Premier Daniel Andrews issued a statement calling it "modern terrorism" and vowing to step up efforts against extremism.
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Brighton siege: Gunman's aim for fame
Crime writer John Silvester believes the ISIS-inspired attack was a grab at fame.
"Islamic State has claimed responsibility for an attack on our soil," Mr Andrews posted on Facebook on Tuesday evening.
"And while we're not sure yet whether a formal, official link to IS can be proven, we have to ask ourselves whether that really matters.
"When innocent people are losing their lives, and first responders are getting shot, is there really much of a difference between what is and isn't 'officially' an IS attack?"
Mr Andrews said some young men had been infected by an ideology that glorified terror.
"We're fighting that ideology – and we're prepared to provide whatever Victoria Police needs to step up that fight," he wrote. "There's no room in Victoria for what we saw in Brighton last night."
The 36-year-old man shot dead in the Brighton terror siege was a father and had only recently married.
Gunman Yacqub Khayre shot and killed the man, an Australian citizen born in China, who worked as a receptionist at the Buckingham Serviced Apartments.
When police arrived at the Bay Street complex shortly after 4pm on Monday following reports of gunshots, they found his body in the foyer.
On Tuesday, Victoria Police Chief Commissioner Graham Ashton said it was a "great tragedy" and the victim had been in the wrong place at the wrong time.
Police have also revealed the woman taken hostage by Khayre was a 36-year-old Colombian national living in Ripponlea, just a few kilometres away from the Brighton apartment complex.
The woman works for an escort agency and was lured to the serviced apartments by Khayre, who had pretended to be a client before taking her hostage.
She called triple zero at 4.10pm and said there was a hostage situation. Police have confirmed Khayre interjected during the call.
Khayre was shot dead by police about 6pm after he walked out of the complex foyer and opened fire at special operations group members.
Deputy Commissioner Shane Patton said the woman had been tied up in an apartment for "a period of time" but was not seriously injured during the siege. She was rescued by police after Khayre had been killed.
"As I understand she was not physically injured but has been very significantly traumatised by this event, as you would expect," Commissioner Patton said.
He said the woman was recovering and police would provide support.
Commissioner Patton, head of the special operations group, paid tribute to the decisive and swift actions of police who responded to the incident.
"No one goes to work expecting to be shot at," Mr Patton said.
Two officers shot during the siege remain in hospital with serious but non-life-threatening injuries.
One member shot in the hand would require skin grafts while the other needed surgery to remove bullet fragments from his neck and face.
Police have reassured the community they have no intelligence to suggest there is an increased terror threat.
"I want to stress at this stage that the community should feel reassured we aren't looking for any other people but the investigation is still ongoing," Mr Patton said.
Mr Patton said there would be a heavier police presence at major sporting events over the Queen's birthday long weekend.
"You'll see increased police patrols from a public reassurance perspective," he said.