2(a) A relation R is defined on the set A={1,2,3,4} from A to A, where R' = {(1,2); (1,3); (1,4); (2,3); (2,4)}. (i)Determine the matrix of the relation MR, clearly outline and comment on your result. (ii)Given another relation S defined on the set B={a,b,c,d} from A to B, as S= {(1,a); (1, b); (1,c); (2, d); (2,a), (3,a); (3,b); (3,c); (4, d); (4,a)}, compute and analyze S-loR-1. (b) Let A={1,2,3}; B={a,b,c}; C={x,y,z,}. Consider the following relations R and S from A to B and from B to C respectively. R={(1,b); (2,a); (2,c)} and S={(a,v); (b.x); (c.x), (cz)}. Find the matrices MR , Ms and MRos of the respective relations R, S and RoS, and compare MRos to the product MRMS

2(a) A relation R is defined on the set A={1,2,3,4} from A to A, where R' = {(1,2); (1,3); (1,4); (2,3); (2,4)}. (i)Determine the matrix of the relation MR, clearly outline and comment on your result. (ii)Given another relation S defined on the set B={a,b,c,d} from A to B, as S= {(1,a); (1, b); (1,c); (2, d); (2,a), (3,a); (3,b); (3,c); (4, d); (4,a)}, compute and analyze S-loR-1. (b) Let A={1,2,3}; B={a,b,c}; C={x,y,z,}. Consider the following relations R and S from A to B and from B to C respectively. R={(1,b); (2,a); (2,c)} and S={(a,v); (b.x); (c.x), (cz)}. Find the matrices MR , Ms and MRos of the respective relations R, S and RoS, and compare MRos to the product MRMS

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.3: Algebraic Expressions

Problem 10E

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