Let V and V' be vector spaces over a field F and let f: V→ V' be a linear map. Which of the following statemens are correct? f is bijective if ker f = 0. / is surjective if Imf = V'. ker f is a subspace of V. f is injective if ker f = 0.
Let V and V' be vector spaces over a field F and let f: V→ V' be a linear map. Which of the following statemens are correct? f is bijective if ker f = 0. / is surjective if Imf = V'. ker f is a subspace of V. f is injective if ker f = 0.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section: Chapter Questions
Problem 16RQ
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