Hey..! vector space is the set of objects known as vectors, we can add and multiply the vector by a number called scalars. It is also known as linear space.
Each element in vector space is a member of an object having a specific length known as a vector. Following are some examples of vector space.
Example:
- Real Vector space is a vector space where scalers are real numbers.
- Complex Vector Space: A vector space where scalers are complex numbers.
- Trivial vector space: It is a vector space that contains only the zero vector, {0}.
Important things about Vector space
- Vector space elements are known as N-tuples, n(length of each element).
- Each element in vector space can be represented in matrix form.
- Scalers are usually considered as Real Numbers.
Is zero a vector space?
Trivial vector{0}, is an example of vector space.