nbsp-Define a binary operation - on a non-empty set A- nbsp-

Dear Student, nbsp;A nbsp;binary operation nbsp; lowast; on a nbsp;non empty set nbsp;S is a rule that assigns to each ordered pair of elements of ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Chemistry

Periodic Trends

nbsp;Define a...

Question

Define a binary operation * on a non-empty set A.

Open in App

Solution

Dear Student,
A binary operation ∗ on a non-empty set S is a rule that assigns to each ordered pair of elements of elements of S a uniquely determined element of S. The element assigned to the ordered pair (a, b) with a, b ∈ S is denoted by a ∗ b.
Regards

Suggest Corrections

Similar questions

Q. Define a binary operation on a set.

Q. Let

S

be a non-empty set and

o

be a binary operation on

S

defined by

x o y = x : x, y \in S

. Determine whether o is commutative ans associative.

Q. Let

X

be a non- empty set and

*

be a binary operation on

P (x)

defined by

A * B = A \cap B

for all

A, B \in P (x)

. Find the identity and invertible elements

Q. Let

x

be non-empty set.

P (x)

be its power set. Let * be an operation defined on element of

P (x) b y, A * B =

A \cap B \forall A, B \in P (x) .

Then
(i) Prove that * is a binary operation in

P (x)

(ii) is * associative?
(iii) Is * commutative?

Q. Let S be a non-empty set and P(S) be the power set of set S. Find the identity element for the union

(\cup)

as a binary operation on

P (S)

Join BYJU'S Learning Program

Define a binary operation * on a non-empty set A.

Dear Student, A binary operation ∗ on a non-empty set S is a rule that assigns to each ordered pair of elements of elements of S a uniquely determined element of S. The element assigned to the ordered pair (a, b) with a, b ∈ S is denoted by a ∗ b. Regards

Dear Student,
A binary operation ∗ on a non-empty set S is a rule that assigns to each ordered pair of elements of elements of S a uniquely determined element of S. The element assigned to the ordered pair (a, b) with a, b ∈ S is denoted by a ∗ b.
Regards