5.6.10. Consider the function f: N+N, f(n) = n+(-1)n+. (a) Compute f(1), f(2). f(3) and f(4). (b) Is f an injection? (c) Is f a surjection?

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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5.6.10 b,c

5.6.10. Consider the function f: N→N, f(n) = n+(-1)a+1.
(a) Compute f(1), f(2). f(3) and f(4).
(b) Is f an injection?
(c) Is fa surjection?
Transcribed Image Text:5.6.10. Consider the function f: N→N, f(n) = n+(-1)a+1. (a) Compute f(1), f(2). f(3) and f(4). (b) Is f an injection? (c) Is fa surjection?
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