- 3 Let V W Be Finite Dimensional Vector Spaces And Let B V Vn Be A Basis For V Let T V W Be A Linear Map A 1 (54.08 KiB) Viewed 68 times
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
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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
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: