. Let (A, *) be an algebraic system such that for all a, b in A Given (a b) a = a and (a b) b = (b ★ a) ★ a Show that for all a and b, (i) a (a b) = a ★b and (ii) a a= (a b) (a b) Note that an algebraic system may not be associative. Also, evaluation in an algebraic system can be assumed to be from left-to-right and hence, (a * b) ★ a = a*b* a
. Let (A, *) be an algebraic system such that for all a, b in A Given (a b) a = a and (a b) b = (b ★ a) ★ a Show that for all a and b, (i) a (a b) = a ★b and (ii) a a= (a b) (a b) Note that an algebraic system may not be associative. Also, evaluation in an algebraic system can be assumed to be from left-to-right and hence, (a * b) ★ a = a*b* a
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 2SGR
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