a) show that the given function is 1-1 or give a counterexample. b) show that the given function is onto, or give a counterexample.    f : P (N) ---> P (N) is defined by f (X) = N - X

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 32EQ
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a) show that the given function is 1-1 or give a counterexample.

b) show that the given function is onto, or give a counterexample. 

 

f : P (N) ---> P (N) is defined by f (X) = N - X

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