Can someone please explain these to me? Let T: R n rightarrow R m be a linear transformation. a. If Tmaps R n onto R m, give a relationship between m and n. Solution a) n should be bigger or equal than m because for every point in R^m, there exists a point in R^n that maps into it b)m should be bigger or equal than n, because every point in R^n is mapped into an unique point in R^m c) by a. and b. m=n.

1. Can someone please explain these to me? Let T: R n rightarrow R m be a linear transformation.
a. If Tmaps R n onto R m, give a relationship between m and n.
Solution
a) n should be bigger or equal than m because for every point in R^m, there exists a point in R^n
that maps into it
b)m should be bigger or equal than n, because every point in R^n is mapped into an unique point
in R^m
c) by a. and b. m=n