The definition of a linear independence is - A set of vectors is said to be linearly dependent if one of the vectors in the set can be defined as a linear combination of the other vectors. If no vector in the set can be written in this way, then the vectors are said to be linearly independent.
I was given this question
a) Prove that span(v1,v2) belongs to P(i.e. any linear combination of v1 and v2 is on the plane)
I was also given that (v1,v2) is linearly independent.
So, how can i write these two vectors as a linear combination of each other if by the definition of linear independency no vectors can be written as a linear combination of other vectors.