rtgt
Nov14-10, 07:40 PM
Hi everyone,
The problem that I'm having issues with reads:
"Let F: Rk →Rn be a linear map. Recall that the graph G(F) of F is the subset of Rk × Rn = Rk+n given by
G(F)={(x,y)∈Rk ×Rn : y=F((x)}"
It first asked me to show that G(F) is a vector subspace of Rk+n which I did just by the definition of vector subspaces.
Then, though it asks for the dimension of G(F). How exactly do I go about finding that?
Any help is greatly appreciated.
Thanks!
The problem that I'm having issues with reads:
"Let F: Rk →Rn be a linear map. Recall that the graph G(F) of F is the subset of Rk × Rn = Rk+n given by
G(F)={(x,y)∈Rk ×Rn : y=F((x)}"
It first asked me to show that G(F) is a vector subspace of Rk+n which I did just by the definition of vector subspaces.
Then, though it asks for the dimension of G(F). How exactly do I go about finding that?
Any help is greatly appreciated.
Thanks!