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CBSE Class 12-science Answered

Given below is the table corresponding to some binary operation a * b on a set S={0,1,2,3,4,5}. What is 5 -1 from this operation?   * 0 1 2 3 4 5 0 0 1 2 3 4  5 1 1 2 3 4 5 0 2 2 3 4 5 0 1 3 3 4 5 0 1 2 4 4 5 0 1 2 3 5 5 0 1 2 3 4    2  1  4  5  
Asked by jay7venture | 14 Sep, 2018, 08:57: PM
answered-by-expert Expert Answer

Finding the identity element

for any element, we can see from the table that

a*0=a

so, 0 is identity element

now

a*b=identity, then inverse of a is b

from table

5*1=0

and 1*5=0

so 1 is the inverse of 5

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