Answer with True or False. 1. The functions from Z to Z is onto if f(n)=n−1. 2. These function from {a, b, c, d} to itself is one to one if f (a) = d, f (b) = b, f (c) = c, f (d) = d. 3. These function from {a, b, c, d} to itself is onto if f (a) = b, f (b) = b, f (c) = d, f (d) = c. 4. These function from {a, b, c, d} to itself is onto if f (a) = b, f (b) = a, f (c) = c, f (d) = d.

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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Answer with True or False.

1. The functions from Z to Z is onto if f(n)=n−1.

2. These function from {a, b, c, d} to itself is one to one if f (a) = d, f (b) = b, f (c) = c, f (d) = d.

3. These function from {a, b, c, d} to itself is onto if f (a) = b, f (b) = b, f (c) = d, f (d) = c.

4. These function from {a, b, c, d} to itself is onto if f (a) = b, f (b) = a, f (c) = c, f (d) = d.

 

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