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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
$Z$ is set of integers. $(Z,)$ forms group if * is:
Solution
$a*b=a+b+2$
Associativity
$(a*b)*c=(a+b+2)+c+2=a+b+c+4$
$a*(b*c)=a+(b+c+2)+2=a+b+c+4$
Identity element:
$a*e=a$
$a+e+2=a$
$e=-2$
Inverse:
$a*b=-2$
$a+b+2=-2$
$b=-a-4$
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