Span is a subspace

[@NuptialFailures]

Would you be able to make a video exploring fractional dimensions (talking about their spans and whatnot) such as ℝ^(1/2)? Regardless, I enjoy the content and look forward to the next upload!

[@dhunt6618]

Subspace: the final frontier. These are the voyages of the Math Prof, Dr. Peyam. His five (or hopefully more) year mission to teach strange new mathematics. To seek out new ways to span subspaces. Boldly going (into classrooms) where no Math Prof has ever gone before!

[@drpeyam]

Hahaha, best comment ever!!!

[@ElifArslan-l9g]

thank you

[@jayamitra4656]

When's the next gaussian derivation?

[@drpeyam]

Tuesday!

[@drpeyam]

Every 6 days basically

[@arthurlbn]

If the span is a span of a plane that dosent have the zero vector. This span still a vector subspace ?

[@drpeyam]

Span always has a 0 vector since 0 u = 0

[@caofan5190]

Can you make a video where you proof Steinitz's Exchange Lemma?

[@drpeyam]

Maybe in 4 months

[@chillaxmachine]

@@drpeyam showtime!

[@carlosvargas2907]

Solo quiero mencionar que recién hoy pude entender el origen de la palabra "combo".

[@chinesecabbagefarmer]

What is the applicability of these?

[@drpeyam]

The span of vectors is the info expressed by vectors, so if b is not in the span, then you cannot express b in terms of those vectors you have. I think my video on least-squares gives a nice application of this

[@chinesecabbagefarmer]

Thank you ​@@drpeyam ! I'll have to think about that a bit more.