2. Let T : V - W. (a) (9 points) Show that if {T(v1). .... T(vs)} is linearly independent, then {#1,.... (x} is linearly independent. (b) (9 points) Show that if {v1, ..., x} is linearly independent, and T is 1 -1, then {T(v1), ..., T(vx)} is linearly independent. (c) (9 points) Show that if {v1, ... un} is a basis for V, and {T(v1), ..., T(vx) } is linearly independent, then T is 1 - 1