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14. Let (a, b) = 1 and x" = yb for some integers a and y. Then prove that there exists an integer n such that x = n and y = n°. 15. prove that ILa, d = nd(n)/2. 16. prove that dn H²(d) = 2~(n). %3D

14. Let (a, b) = 1 and x" = yb for some integers a and y. Then prove that there exists an integer n such that x = n and y = n°. 15. prove that ILa, d = nd(n)/2. 16. prove that dn H²(d) = 2~(n). %3D

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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14. Let (a, b) = 1 and x“ = yb for some integers x and y. Then prove that there exists an integer n such that x = nb and y = n°. 15. prove that IIu, d = nd(n)/2. u/p 16. prove that Edin p² (d) = 2~(n).
Transcribed Image Text:14. Let (a, b) = 1 and x“ = yb for some integers x and y. Then prove that there exists an integer n such that x = nb and y = n°. 15. prove that IIu, d = nd(n)/2. u/p 16. prove that Edin p² (d) = 2~(n).
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