The man who bashed a protective services officer with a hammer before stealing his gun and taking his own life had been acting "peculiarly" at Parliament House earlier that day.
As it emerged there was no CCTV footage of the assault, police said the man - now known to be a 30-year-old from Chadstone - had asked PSO James Vongvixay for directions shortly before hitting him in the head with a hammer.
On Wednesday morning, Mr Vongvixay was recovering in hospital from surgery to mend a fractured skull.
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