Determine if each function is injective, surjective or bijective. Give one counterexample for each that it is not. 1. function f from {a, b, c, d} to itself, where f(a) = d, f(b) = b, f(c) = a, f(d) = c 2. f :Z x Z → Z, where f(m, n) = m2 – n2 3. f:Zx Z Z, where f(m, n) = |m| - In| %3D
Determine if each function is injective, surjective or bijective. Give one counterexample for each that it is not. 1. function f from {a, b, c, d} to itself, where f(a) = d, f(b) = b, f(c) = a, f(d) = c 2. f :Z x Z → Z, where f(m, n) = m2 – n2 3. f:Zx Z Z, where f(m, n) = |m| - In| %3D
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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