Define a vector space. Give an example.

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.