Let f: X→ Y and g : Y → V be functions. Show the following: 3h : Y→ X such that ho f = idx (a) f is injective (b) f is surjective 3h: Y→ X such that foh = idy

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Let f: X→ Y and g: Y→ V be functions. Show the following:
3h : Y→ X such that ho f = idx
(a) f is injective
(b) f is surjective
3h: Y→ X such that foh = idy
Transcribed Image Text:Let f: X→ Y and g: Y→ V be functions. Show the following: 3h : Y→ X such that ho f = idx (a) f is injective (b) f is surjective 3h: Y→ X such that foh = idy
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