3(a) Consider the relation R defined on the set X={a,b,c,d} and Y={1,2,3,4} from X to Y, where R= {(b, 1); (a, 3); (c, 2); (d,3); (a, 4); (b, 2)}. (i)Deduce the matrix of the complementary relation, MRC, clearly outline and comment on your result. (ii) A relation T is defined on the set Y above from Y to Y as T = {(1,1); (4,2); (1,3); (2,4); (2,1); (3,2); (3,3); (3,4); (1,2); (2,3); (4,4); (4, compute and analyze ToR-1.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3(a) Consider the relation R defined on the set X={a,b,c,d} and
Y={1,2,3,4} from X to Y, where R=
{(b, 1); (a, 3); (c, 2); (d, 3); (a, 4); (b, 2)}.
(i)Deduce the matrix of the complementary relation, MRC, clearly
outline and comment on your result.
(ii) A relation T is defined on the set Y above from Y to Y as T =
{(1,1); (4,2); (1,3); (2,4); (2,1); (3,2); (3,3); (3,4); (1,2); (2,3); (4,4); (4,1)
compute and analyze ToR-1.
Transcribed Image Text:3(a) Consider the relation R defined on the set X={a,b,c,d} and Y={1,2,3,4} from X to Y, where R= {(b, 1); (a, 3); (c, 2); (d, 3); (a, 4); (b, 2)}. (i)Deduce the matrix of the complementary relation, MRC, clearly outline and comment on your result. (ii) A relation T is defined on the set Y above from Y to Y as T = {(1,1); (4,2); (1,3); (2,4); (2,1); (3,2); (3,3); (3,4); (1,2); (2,3); (4,4); (4,1) compute and analyze ToR-1.
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