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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please help me solve the math question in the picture below
Transcribed Image Text: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
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