Скачать или смотреть finding the identity and inverse elements of a binary operation

After watching this video, you would be able to find the identity element and the inverse element of a binary operation.
In mathematics, particularly in algebra, identity and inverse elements are important concepts related to binary operations.

1. Binary Operation

A binary operation is a rule that combines two elements from a set to produce another element of the same set.
Example: Addition (+) on real numbers.

2. Identity Element

An identity element is a special element in a set such that, when used in a binary operation with any element of the set, it leaves that element unchanged.

For addition, the identity is 0:


For multiplication, the identity is 1:

3. Inverse Element

An inverse element of an element (under a binary operation) is another element such that when the operation is applied, the result is the identity element.

For addition, the inverse of is -a