Forensic examinations of the house in Chells Grove are continuing this morning and investigations are ongoing. Local officers are providing reassurance patrols in the area.
A serious case review and a domestic homicide review are expected to take place.
West Midlands Police has informed the Independent Police Complaints Commission because it has had previous contact with the man in custody.Police are asking anyone who saw anything suspicious in the area late Saturday night or early Sunday morning to call 101 or Crimestoppers on 0800 555 111.
More top news
Windy with sunny spells and some showery rain.
Winds decreasing this evening. Wet at times on Thursday.
The terrorist was spotted in Birmingham and Brighton in the weeks ahead of the Westminster attack.