Let S be a non-empty set and `P(s)` be the power set of set S. Find the identity element for all union `()` as a binary operation on `P(S)dot`

Let S be a non-empty set and P(s) be the power set of set S. Find the identity element for all union U as a binary operation on P(S)dot

Let S be a non-empty set and P(S) be the power set of the Set S. Statement -I: Phi is the identity element for union as a binary operation on P(S) Statement -II: S is the identity element for intersection on P(S).

Define identity element for a binary operation defined on a set.

Define identity element for a binary operation defined on a set.

Let S be the set of all 2xx2 matrices. What is the identity element of the multiplication operation on S?

A binary operation on a set has always the identity element.

A binary operation on a set has always the identity element.

A binary operation on a set has always the identity element.

If S it the set of all 2 xx 2 matrices then find the identity element of the addition operation on s.