Miracle of Linear Algebra

In this video, I present the two miracles of linear algebra: On the one hand, I show that every (finite-dimensional) vector space is isomorphic to R^n. In other words, every vector space, no matter how abstract, is just like a list of numbers. On the other hand, I show that every linear transformation is just like a matrix. So in some sense we’re bringing vectors and matrices back to life! This also explains why elementary linear algebra courses just focus on matrices! Enjoy!

Happy pride month!!!

Check out my Linear Transformations Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCGJgXVb1gt0q1weM_Bt6aE

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