ow that B = {5+i, 2+i} is a basis for Q(i) whose elements are algebraic tegers. Why is ß not an integral basis for Q(i)?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 29EQ
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Show that 3 = {5+i, 2+i} is a basis for Q(i) whose elements are algebraic
integers. Why is 3 not an integral basis for Q(i)?
Transcribed Image Text:Show that 3 = {5+i, 2+i} is a basis for Q(i) whose elements are algebraic integers. Why is 3 not an integral basis for Q(i)?
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