http://adampanagos.org
Course website: https://www.adampanagos.org/ala
The vector space P3 is the set of all at most 3rd order polynomials with the "normal" addition and scalar multiplication operators.
In this video we work with a subset of elements from P3 and formally show that it is a subspace. Since P3 is already a vector space, to show this subset is a subspace we only need to check 3 properties, not all 10 normal vector space properties. We work through each of these 3 properties to show the subset is indeed a subspace.
If you enjoyed my videos please "Like", "Subscribe", and visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!