Show a Set is Not a Vector Space with the Indicated Operations | Linear Algebra Exercises

Описание к видео Show a Set is Not a Vector Space with the Indicated Operations | Linear Algebra Exercises

To show a set is not a vector space with indicated operations, we must show the set violates at least one of the vector space axioms. We'll do six examples of such problems in this linear algebra video lesson. We'll see some that violate closure of vector addition, closure of scalar multiplication, and more. #linearalgebra

Vector Spaces:    • Vector Spaces Explained | Linear Algebra  

Linear Algebra course:    • Linear Algebra  
Linear Algebra exercises:    • Linear Algebra Exercises  

Join Wrath of Math to get exclusive videos, music, and more:
   / @wrathofmath  

0:00 Intro
0:23 Problem 1
1:33 Problem 2
3:02 Problem 3
3:49 Problem 4
4:23 Problem 5
5:20 Problem 6
6:22 Conclusion

◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Abstract Algebra: https://amzn.to/3IjoZaO
Linear Algebra: https://amzn.to/43xAWEz
Calculus: https://amzn.to/3PieD1M
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd

★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons  
◆ Donate on PayPal: https://www.paypal.me/wrathofmath

Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!

Outro music is mine. You cannot find it anywhere, for now.

Follow Wrath of Math on...
● Instagram:   / wrathofmathedu  
● Facebook:   / wrathofmath  
● Twitter:   / wrathofmathedu  

My Math Rap channel:    / @mathbars2020  

Комментарии

Информация по комментариям в разработке