They lived north of Edmonton and were on holiday when she died in what was initially thought to have been a fishing mishap on a lake near Revelstoke on August 18, 2010.
It was a year before Beckett was charged with first-degree murder.
However, proceedings were delayed when he was further charged in 2012 with offences relating to allegedly trying, while on remand in prison, to arrange the murder of five people associated with the case.
Last month Beckett challenged a judge's appointment of defence counsel by saying: "You don't think I have the intellect to represent myself." After the judge told him "it's not about intellect, it's about knowledge and expertise", Beckett was reported to have replied: "You think I'm lacking in those?"
"Well, yes," said Supreme Court Justice Ian Meiklem.
"It would be like me walking into Nasa headquarters and saying: I'm going to take over this rocket launch now.
"I'm not equipped to do it, no matter what my intellect might be," the judge said.