Linear Algebra Example Problems - Subspace Example #3

http://adampanagos.org

Course website: https://www.adampanagos.org/ala

We work with a subset of vectors from the vector space R2. We show that this subset of vectors is NOT a subspace of the vector space.

In general, given a subset of a vector space, one must show that all of the following are true:

1) Contains the zero vector, 2) Is closed under addition, and 3) Is closed under scalar multiplication.

If any of these fail, the subset is not a subspace. In this problem we show that both 1) and 3) are not true, and thus the subset of R2 is not a subspace of R2.

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!