O f(x)=x2, when f: Z Z O f(x)=x?, when f: Z-z O f(x)-x2, when f: Z Z O f(x)=x2, when f: Z Z

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
Problem 30EQ
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Which of the following functions are NOT invertible:
O f(x)=x2, when f: Z Z
-
O f(x)=x?, when f: Z Z
O r(x)-x?, when f. ZZ
f(x)=x2, when f: Z Z
Transcribed Image Text:Which of the following functions are NOT invertible: O f(x)=x2, when f: Z Z - O f(x)=x?, when f: Z Z O r(x)-x?, when f. ZZ f(x)=x2, when f: Z Z
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