If you let R=Z[x]and I = (x^2 -2) be the principal ideal generated by f(x) = (x^2 -2). If r=2x + I exists in R/I, How do you prove that r^2=8 + I?
If you let R=Z[x]and I = (x^2 -2) be the principal ideal generated by f(x) = (x^2 -2). If r=2x + I exists in R/I, How do you prove that r^2=8 + I?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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If you let R=Z[x]and I = (x^2 -2) be the principal ideal generated by f(x) = (x^2 -2). If r=2x + I exists in R/I, How do you prove that r^2=8 + I?
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