Invertible Matrices correspond with Invertible Transformations **proof**

Опубликовано: 10 Июнь 2018
на канале: Dr. Trefor Bazett
11,710
257

Invertible Matrices are an algebraic concept that helps us solve Linear Systems of Equations. Invertible Transformations are a geometric concept where we can "undo" a transformation. But in fact they coincide! In this video, we prove that if you have an invertible matrix, the transformation it defines is also invertible. Likewise, if you have an invertible transformation, the matrix it generates is invertible.

**************************************************
Now it's your turn:
1) Summarize the big idea of this video in your own words
2) Write down anything you are unsure about to think about later
3) What questions for the future do you have? Where are we going with this content?
4) Can you come up with your own sample test problem on this material? Solve it!

Learning mathematics is best done by actually DOING mathematics. A video like this can only ever be a starting point. I might show you the basic ideas, definitions, formulas, and examples, but to truly master math means that you have to spend time - a lot of time! - sitting down and trying problems yourself, asking questions, and thinking about mathematics. So before you go on to the next video, pause and go THINK.

***************************************************
►Want more ideas for learning math effectively?
How to Watch Math Videos:
   • How to watch math videos  

►5 Tips to Make Math Practice Problems Effective:    • 5 Tips To Make Math Practice Problems...  

****************************************************
►Want some cool math? Check out my "Cool Math" Series:
   • Cool Math Series  

****************************************************
Course Playlists:
►Calculus I:    • Calculus I (Limits, Derivative, Integ...  

►Calculus II:    • Older Calculus II (New Playlist For S...  

►Discrete Math:    • Discrete Math (Full Course: Sets, Log...  

►Linear Algebra:    • Linear Algebra (Full Course)  

*****************************************************
►Follow me on Twitter:   / treforbazett  
*****************************************************

This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati.

BECOME A MEMBER:
►Join:    / @drtrefor  

MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett


Смотрите видео Invertible Matrices correspond with Invertible Transformations **proof** онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь Dr. Trefor Bazett 10 Июнь 2018, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 11,710 раз и оно понравилось 257 людям.