Linear Algebra: A Modern Introduction

4th Edition

ISBN: 9781285463247

Author: David Poole

Publisher: Cengage Learning

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Question

Check the injectivity and surjectivity of the following functions:

(i) f : N → N given by f(x) = x^{2}

(ii) f : Z → Z given by f(x) = x^{2}

(iii) f : R → R given by f(x) = x^{2}

(iv) f : N → N given by f(x) = x^{3}

(v) f : Z → Z given by f(x) = x^{3}

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