Hey! can I have the solution for this linear algebra question? thanks :)
1. (100%) Let T : Rn-> Rrn be a one-to-one linear transformation and V be a subspace of Rn. (a) (b) (30%) Show that W-(T(u) : u E V} is a subspace of R". (40%) Prove that if {ui,Uz, W. , uk} įs a basis for V, {T(u), T(u2), ,T(w)} is a basis for (c) (30%) Prove that dim V-dim W
