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Let X - {a-b-c-d} and let  be the binary operation on X given by the f.docx
Let X - {a-b-c-d} and let  be the binary operation on X given by the f.docx
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linear algebra 16 and 9 In this exercise you will prove Theorem 3 on p.docxlinear algebra 16 and 9 In this exercise you will prove Theorem 3 on p.docx
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Let X - {a-b-c-d} and let be the binary operation on X given by the f.docx

  1. Let X = {a,b,c,d} and let be the binary operation on X given by the following table: a b c d a d c a b b c b a c c a a d c d b d c a (e) Is the subset Y = {a, c, d} of X closed under ? Explain. Solution Let X = {a,b,c,d} and let be the binary operation on X given by the following table: a b c d a d c a b b c b a c c a a d c d b d c a (e) Is the subset Y = {a, c, d} of X closed under ? Explain. if x, y Y then x y Y then it is closed as Y subset of X as Y = {a,c,d} x,y can only be a,c,d so we check a*c = a c*a = a a*d = b d*a = b
  2. c*d = c d*c = c as we can see there is extra element b so it is not closed
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