Consider the ring R := C[x]/((x - 1)2022). To ease the notation we write [f] for the image of fe C[x] in R. (a) (b) (c) What is the dimension of R as a C-vector space? Show that [²x] E R is a nilpotent element. Show that [x] E R is a unit.
Consider the ring R := C[x]/((x - 1)2022). To ease the notation we write [f] for the image of fe C[x] in R. (a) (b) (c) What is the dimension of R as a C-vector space? Show that [²x] E R is a nilpotent element. Show that [x] E R is a unit.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 52E
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