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5:07

Let Abe set of all cube roots of unity and let multiplication operation (x) be a binary operation on A. Construct the composition table for (x),on A. Also, find the identity element for (x) on A. Also, check its commutativity and prove that every element of A is invertible.

100+ Views | 100+ Likes

7:01

Let `A={1,omega,omega^(2)}` be the set of cube roots of unity. Prepare the composition table for multiplication `(xx)` on A. Show that multiplication on A is a binary operation and it is commutative on A. Find the identity element for multiplication and show that every element of A is invertible.

3.3 K+ Views | 100+ Likes

5:07

Consider the set `S={1, omega, omega^2}` of all cube roots of unity. Construct the composition table for multiplication `(xx)` on `Sdot` Also, find the identity element for multiplication on `Sdot` Also, check its commutativity and find the identity element. Prove that every element of `S` is invertible.

29.6 K+ Views | 1.5 K+ Likes

5:43

Consider the set `S={1,\ omega,\ omega^2}` of all cube roots of unity. Construct the composition table for multiplication `(xx)` on `Sdot` Also, find the identity element for multiplication on `Sdot` Also, check its commutativity and find the identity element. Prove that every element of `S` is invertible.

800+ Views | 41 Likes

4:03

Consider the set `S={1,\ -1}` of square roots of unity and multiplication `(xx)` as a binary operation on `Sdot` Construct the composition table for multiplication `(xx)` on `Sdot` Also, find the identity element for multiplication on `S` and the inverses of various elements.

42.5 K+ Views | 2.1 K+ Likes

6:51

Let P(A) be the power set of a non-empty set A and a binary operation `@` on P(A) is defined by `X@Y=XcupY` for all `YinP(A).` Prove that, the binary operation `@` is commutative as well as associative on P(A). Find the identity element w.r.t. binary operation `@` on P(A). Also prove that `Phi inP(A)` is the only invertible element in P(A).

1.1 K+ Views | 200+ Likes