def S ER a ca> Show thats is a subgroup ob (M2(R),+). (6) Show that ib A, B ES then ABES. (C) Find all the idempotent elements and nilpotent eleme nts in S.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 4E: 4. List all the elements of the subgroupin the group under addition, and state its order.
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def
S
а, с€ R
а
ca> Show thats is a subgroup ob (M2(R),+).
(6> Show that ib A, B ES then ABES.
(C) Find all the idempotent elements and nilpotent elements
Transcribed Image Text:def S а, с€ R а ca> Show thats is a subgroup ob (M2(R),+). (6> Show that ib A, B ES then ABES. (C) Find all the idempotent elements and nilpotent elements
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