Question

The set where and is a spanning set of but not a basis of set.

Answer 1

Answer:

A basis for a space is a spanning set with the extra property that the vectors are linearly independent. This essentially means that you can't make one of the vectors in the spanning set out of the others. ... Span is nothing just but all the linear combinations of the vector.

A spanning set of a vector space is a collection of vectors such that their span (the collection of all linear combinations of those vectors) is the whole vector space. ... A minimal spanning set is a spanning set such that no proper subset of it is a spanning set