# Altkom Matrix

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In this section first we shall define a group, definition of a group : A non empty set S which satisfies the four axioms namely osed axiom sociative axiom verse axiom entity axiom, if the above four axioms are satisfied then we say that the set S forms a group.
(1) Consider Right hand side equation a(bc)8(26) (2) So from (1) and (2) we Validate Associative law is satisfied. Entity axiom : The Identity axiom is given by aea Here e is the identity element now if we multiply any element of S we should get back the same element, that means the element satisfying this condition is 1.Consider a9 909Hence
(1 consider Right hand side equation a(bc) 8(26) (2) So from (1) and (2) we Validate Associative law is satisfied. Entity axiom : The Identity axiom is given by aea, here e is the identity element now if we multiply any element of S we should get back the same element, that means the element satisfying this condition is 1.Consider.
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Sociative axiom : The Associative axiom is given by (ab)ca(bc). Consider three elements such as 8,2,6 now let us check the validity of this law: Let a8 b2, c6 Consider Left hand side equation (ab)c (82)616.
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