Math 304 Quiz 2: Challenge 1 Let R>0 be the positive real numbers. Show multiplication, inversion, and 1 make R>0 into a vector space. (Hint define scalar multiplication by c r := r c .) 2 Let E : R R>0 be given by E(r ) := er . Show that E is a linear transformation when R>0 is considered as a vector space as in Problem (1). 1