Defining a statement (Vector Algebra)

[JFonseka]

Homework Statement

Let V be a vector space over the field F. Define what is meant by the statement
"For vectors v1, v2,...,vn belonging to V, the set {v1,v2,...,vn} spans V

Homework Equations

None

The Attempt at a Solution

Does it mean that the set is linearly dependent?

 

[Mark44]

You can't tell whether the vectors are linearly dependent or linearly independent without knowing more about your vector space V.

Doesn't your book have a definition of the term "span"?

 

[JFonseka]

So it is a spanning set for V?

 

[Mark44]

The problem tells you that this set spans V. You are supposed to say what this means.