Question 8 Consider the function f: N x N N,defined by f(m, n) = (m-n)² +1 %3D 1. Find f(1,0) and f(0, 1). 2. Find the pre-image of (0,1} by f. Le., f (0)Uf'(1) 3. Is fa one-to-one function? Justify your answer. 4. Is f an onto function? justify your answer.
Question 8 Consider the function f: N x N N,defined by f(m, n) = (m-n)² +1 %3D 1. Find f(1,0) and f(0, 1). 2. Find the pre-image of (0,1} by f. Le., f (0)Uf'(1) 3. Is fa one-to-one function? Justify your answer. 4. Is f an onto function? justify your answer.
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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