- #1
PsychonautQQ
- 784
- 10
I want to understand all possible homomorphisms ##\alpha: Z^a -> Z^b## as well as understand what a matrix representation for an arbitrary one of these homomorphisms would look like. Furthermore, under what conditions does a homomorphism have a matrix representation?
To begin, let ##(e_1,e_2,...,e_a)## be a bases for ##Z^a## and ##(f_1,f_2,...,f_b)## be a basis for ##Z^b##.
And eh, yeah, can someone give me some insights into my inquiries? Thanks!
To begin, let ##(e_1,e_2,...,e_a)## be a bases for ##Z^a## and ##(f_1,f_2,...,f_b)## be a basis for ##Z^b##.
And eh, yeah, can someone give me some insights into my inquiries? Thanks!