Give an example of a vector space V over a field F, and of a linear transformation T: V → V that is: (a) injective but not surjective;
Give an example of a vector space V over a field F, and of a linear transformation T: V → V that is: (a) injective but not surjective;
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Give an example of a vector space V over a field F, and of a linear transformation T: V → V that is:
(a) injective but not surjective;
(b) surjective but not injective.
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