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Exercise 8.6.24. Suppose f: A → B, g: B → A, go f(a) = a, for every a e A, and • f o g(b) = b, for every b e B. Show that f is a bijection.

Exercise 8.6.24. Suppose f: A → B, g: B → A, go f(a) = a, for every a e A, and • f o g(b) = b, for every b e B. Show that f is a bijection.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Exercise 8.6.24. Suppose f: A → B, g: B → A, go f(a) = a, for every a e A, and • f o g(b) = b, for every b e B. Show that f is a bijection.
Transcribed Image Text:Exercise 8.6.24. Suppose f: A → B, g: B → A, go f(a) = a, for every a e A, and • f o g(b) = b, for every b e B. Show that f is a bijection.
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