- #1
Shackleford
- 1,656
- 2
How do I show the vectors, polynomials, and matrices generate the given sets?
A subset of a vector space generates the vector space if the span of the subset is the vector space. The span is the set of all linear combinations.
For 6, do I show the vector are linearly independent and can thus generate F3? I assume this is simply R3. What about for 6 and 8?
http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110608_203711.jpg
A subset of a vector space generates the vector space if the span of the subset is the vector space. The span is the set of all linear combinations.
For 6, do I show the vector are linearly independent and can thus generate F3? I assume this is simply R3. What about for 6 and 8?
http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110608_203711.jpg
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