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Keybook matclh11 page 42

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Identity: "O" is the identity element. 0+ 0 0 :0 +2 = 2 Associativa - + 0 = 0 This law holds. Inverse: From table; 0 + 0 = 0 inverse of 'O' is 0. 1 + 3 = 3 + 1.50 inverse of f' is '3' & '3' is 'q! 2 + 2 = 2 + 2 = 0 inverse of '2' is 2. Commutative law: .. As; table is symmetric w.r.t. principle diagonal, Therefore, this law holds. : 1 + 2 = 2 + 1 = 3 · Hence given set {0, 1, 2, 3) is an abelian group. Q3. For each of the following sets, determine whether or not the set forms a group with respect to the indicated operations Set Operation j. The set of rational numbers X Ans: The set of rational numbers is denoted by Q Since 0 is a rational number. Sole ...
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