3) Let V, W be finite dimensional vector spaces and let B = {v₁, ...,Vn} be a basis for V. Let T:V→W be a linear map. (a
Posted: Thu Jun 30, 2022 7:35 pm
3) Let V, W be finite dimensional vector spaces and let B = {v₁, ...,Vn} be a basis for V. Let T:V→W be a linear map. (a) (2 points) Show that T is surjective ↔ T(B) spans W (b) (1 point) Conclude that T is an isomorphism ↔ T(B) is a basis for W Solution: