View Single Post
Mar3-12, 11:34 PM
P: 6
So, I'm studying for my linear algebra midterm and I came up with kind of an interesting question that I pose to all of you brilliant people on physics forums.

Let's say you have a linear transformation T(x)=Ax, with A being an nxm matrice. Apparently, for this equation to hold, x must be a member of ℝm.

Maybe this is a ******** argument but if ℝm-1 is a subset/subspace (forgot the exact terminology) of ℝm then wouldn't the vector (2,1) in ℝ2 be (2,1,0) in ℝ3? vector operations with vectors in ℝm (or at least as far as I know) can't create vectors in ℝm+1, right?

I have no idea if I really made my question clear at all, but I'm curious to hear what you guys have to say regardless.
Phys.Org News Partner Science news on
'Office life' of bacteria may be their weak spot
Lunar explorers will walk at higher speeds than thought
Philips introduces BlueTouch, PulseRelief control for pain relief