Linear Algebra Example Problems - Spanning Vectors #2

http://adampanagos.org

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

In this problem we work with the vectors v1 and v2 and determine if the set {v1, v2} spans R2.

If the set of vectors {v1,v2} spans R2, then ANY vector from R2 can be written as a linear combination of these vectors. To see if this is true, an arbitrary vector from R2 is selected an and an augmented matrix is constructed and solved. If there is no solution to this system of equations, then the set of vectors {v1,v2} does not span R2.

Obviously, this approach can be extended to spaces with higher dimension.

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!