The set } is not a spanning set of , since its span is the space of all vectors in whose last component is zero. That space is also spanned by the set {(1, 0, 0), (0, 1, 0)}, as (1, 1, 0) is a linear combination of (1, 0, 0) and (0, 1, 0). Thus, the spanned space is not It can be identified with by removing the third components equal to zero.
The set } is not a spanning set of  since its span is the space of all vectors in whose last component is zero That space is also spanned by the set {(1 0 0) (0 1 0)} as (1 1 0) is a linear combination of (1 0 0) and (0 1 0) Thus the spanned space is not It can be identified with by removing the third components equal to zero