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Need solution
For the universal set T = {1, 2, 3, 4, 5} and its subset A ={2, 3} and B ={5, }
Find
i) A1
ii) (A1)1
iii) (B1)1
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Let R be the relation on S = {1, 2, 3, 4, 5} defined by R = {(1,3); (1, 1); (3, 1); (1, 2); (3, 3); (4, 4)}. (b) Write down the matrix of R. (c) Draw the digraph of R.
Solution i) A1 ={2, 3}1 = {1, 4, 5} ii) (A1)1 =({2, 3}1)1 = {1, 4, 5}1={2, 3} = A iii) (B1)1=({5}1)1 = {1, 2, 3, 4}1={5} = B
Solution
i) A1 ={2, 3}1 = {1, 4, 5}
ii) (A1)1 =({2, 3}1)1 = {1, 4, 5}1={2, 3} = A
iii) (B1)1=({5}1)1 = {1, 2, 3, 4}1={5} = B
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