Question

# A binary operation can have inverse without identity

A

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is B False In the definition of inverse we assume the existence of identity. So, we can't have inverse without identity. That is inverse is defined for only those binary operations which has an identity. Definition of inverse : If e is the identity of ∗ and a ∗ b = e = b ∗a, then b is called the inverse of a

Suggest Corrections
0