Problem 3: Let n E N. Prove that the function f : Sn → An+2 given by α, a(n+1,n+2), if a is odd f(a): Ja, if a is even = is injective

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
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Kailash ben 

Problem 3: Let n E N. Prove that the function f : Sn → An+2 given by
α,
a(n+1,n+2), if a is odd
f(a):
Ja, if a is even
=
is injective
Transcribed Image Text:Problem 3: Let n E N. Prove that the function f : Sn → An+2 given by α, a(n+1,n+2), if a is odd f(a): Ja, if a is even = is injective
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