Verify (i) closure property (ii) commutative property (iii) associative property (iv) existence of identity and (v) existence of inverse for the operation `xx_(11)` on a subset A = {1,3,4,5,9} of the set of remainders {0,1,2,3,4,5,6,7,8,9,10}.

Verify (i) closure property (ii) commutative property (iii) associate property (iv) existence of identity and (v) existence of inverse for the opertion xx 11 on a subset A = {1 , 3 , 4 , 5 , 9} of the set of the remainders { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10}.

Verify (i) closure property (ii) commutative property (iii) associative property (iv) existence of identity and (v) existence of inverse for the operation +_(5) on ZZ_5 using table corresponding to addition modulo 5.

Verify (i) closure property (ii) commutative property and (iii) associati ve property of the following operation on the given set. (a•b) = a^(b) , forall a, b in NN (exponentiation property )

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9} . Find A′.

Write the n^(th) term of the following sequences. 1/2,3/4,5/6,7/8,9/10,...

If A = {2, 5, 6, 7} and B = {3, 5, 7, 8}, then verify the commutative property of (i) union of sets (ii) intersection of sets

Find the inverse of each of the matrices (if it exists ) {:[( 2,1,3),( 4,-1,0),( -7,2,1) ]:}

Find the inverse of each of the matrices (if it exists ) {:[( 1,2,3),( 0,2,4),( 0,0,5)]:}