can I have the solution for this linear algebra problem please? thanks in advance! (second time posting please make your handwriting clear)
1. (100%) Let T : Rn- Rm be a one-to-one linear transformation and V be a subspace of Rn. (a) (30%) Show that W-(T(u) : u E V} is a subspace of R". (b) (40 , u2, , uk} įs a basis for V, {T(u),T(u2), %) Prove that if {ul W. ,T(m)) is a basis for (c) (30%) Prove that dim V-dim W
