Question

The vector space which has only the additive identity element zero is called which space

Answer 1

Answer:

In Group , we can easily show that an additive identity is unique. Thus, the zero vector is the only additive identity .

Answer 2

The vector space which has only the additive identity element zero is called trivial vector space.

• Vector space: Vector space is a space made up of vectors that are defined by the associative and commutative law of vector addition, as well as the associative and distributive process of vector multiplication by scalars.
• The trivial vector space, denoted by the number 0, is an example of a vector space with zero or null vectors.
• The addition and scalar multiplication are both trivial in this example.