2.18 True or false: between any n-dimensional space and R" there is exactly one isomorphism.
2.18 True or false: between any n-dimensional space and R" there is exactly one isomorphism.
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:2.18 True or false: between any n-dimensional space and Rn there is exactly one
isomorphism.
Expert Solution
Step 1 Introduction
We have to state whether statement is True or false with Explanation.
Given Statement is Between any n-dimensional space and Rn there is exactly isomorphism.
We know that,
A linear map T : V->W is called an isomorphism if the following two conditions are satisfied.
- T is one to one
- is onto.
- T is Homomorphism
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