Question

The _____________ of a vector space is a set of linearly independent vectors that span the entire space. Scale

Answer 1

Answer:

BASIS

Explanation:

A set S is said to be basis of a vector space V if

1. S is ki early independent set of vector

2.S spans V

That is L(S)=V

Answer 2

Answer:

Basis

Explanation:

We have to fill the correct word in the blank

Basis:The set of vectors is called basis for vector space if it is satisfied  following condition:

1.The given set is linear independent.

2.The given set span the entire vector space.

Linearly independent:The set is called linearly independent when any vector is not a linear combination of other vectors given in the set.

Hence, the basis of a vector space is a set of linearly independent vectors that span the entire space.