Prove that in Q(/-5)we have(3,1+ 2v-5)(3,1 – 2v-5) = (3).

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Prove that in Q(V-5) we have (3,1+ 2/-5)(3, 1 – 2v-5) = (3).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.2: Matrix Algebra

Problem 21EQ: Prove the half of Theorem 3.3 (e) that was not proved in the text.

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Prove that in Q(/-5)
we have
(3,1+ 2v-5)(3,1 – 2v-5) = (3).

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