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Home  >>  CBSE XII  >>  Math  >>  Relations and Functions
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Determine whether or not each of the definition of $\ast$ given below gives a binary operation. In the event that $\ast$ is not a binary operation, give justification for this: (v)On $Z^+,define \;\ast\;by\;a\;\ast\;b=a.$

Note: This is part 5 of a 5 part question, split as 5 separate questions here.
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  • A binary operation $∗$ on a set $A$ is a function $∗$ from $A \times A$ to $ A$. Therefore, if $a,b \in A \Rightarrow a*b \in A\; \forall\; a,b, \in A$
Given On $Z^+$ defined $*$ by $a*b=a$
For each pair of element $a,b \in Z_+,*$ carries (a,b) to unique element $a \in Z+$
Therefore it is a binary operation.
answered Mar 13, 2013 by sreemathi.v
edited Mar 19, 2013 by balaji.thirumalai
 

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