I think even more experts will tell you that this could only be done under a multilateral constitutional change process. The Constitution already sets out, in section 42, that you cannot touch the powers of the Senate without using the 7/50 formula. If you eliminate all powers, a fortiori, this procedure applies. There are even some experts who claim that in such a case, one would have to evoke section 41, because you would be changing the process for constitutional amendment, which gives the Senate certain powers, a suspensive veto as far as certain constitutional amendments are concerned. Therefore, in all honesty, it seems absolutely unthinkable to me that the Senate could be unilaterally abolished.
On June 4th, 2008. See this statement in context.