Question

Define basis of a vector space.

Answer 1

A set of vectors is said to be a Basis of the -vector space if both and is a linearly independent set. From the definition, to prove that a set of vectors from is a basis of , we must show that this set of vectors is a spanning set of and that this set of vectors is linearly independent.

Answer 2

$\mathfrak{answer}$

Definition:
➡A vector space is a set V on which two operations + and. · are defined, called vector addition and scalar multiplication. The operation + (vector addition) must satisfy the following conditions: Closure: If u and v are any vectors in V, then the sum u + v belongs to V.