Linear Algebra Example Problems Subspace Example 1

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http://adampanagos.org • Course website: https://www.adampanagos.org/ala • Join the YouTube channel for membership perks: • / @adampanagos • We work with a subset of vectors from the vector space R3. We show that this subset of vectors is a subspace of the vector space via a useful theorem that says the following: • Given a vector space V, the span of any set of vectors from V is a subspace of V. • Since we're able to write the given subset of vectors as the span of vectors from R3, the set of vectors in this problem is indeed a subspace of R3. • Another way to work this problem is to show that the set of vectors satisfies the following 3 properties: 1) Contains the zero vector, 2) Is closed under addition, and 3) Is closed under scalar multiplication. • Course website: • https://www.adampanagos.org/ala-appli... • 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!

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