6. We showed early in the semester that the positive real numbers with vector addition defined to be standard multiplica
Posted: Thu May 12, 2022 12:16 pm
6. We showed early in the semester that the positive real numbers with vector addition defined to be standard multiplication and scalar multiplication defined to be exponentiation is a vector space. Show that this vector space has dimension 1 and conclude that it is isomorphic to the real numbers with standard operations. Then show that the exponential function is actually an isomorphism between the two spaces.