Invertible Skew-Symmetric 2025 x 2025 matrix? | Linear Algebra Puzzle! скачать в хорошем качестве

Invertible Skew-Symmetric 2025 x 2025 matrix? | Linear Algebra Puzzle!

When are skew-symmetric matrices invertible? Does there exist an invertible skew-symmetric n x n matrix for each positive integer n? In this video, we explore this simple question with a surprising answer based on basic properties of matrices! We also explain why this question is the genesis of the subject of symplectic geometry. The video is designed for people studying matrices, determinants, the transpose of a matrix, symmetric and skew-symmetric matrices, invertible matrices, properties of matrices etc. who want to practice with a fun and beautiful problem in matrix theory/linear algebra. If you enjoy this video, I would love if you could please like ✅ , subscribe 🎉, and share ⏩ with students, classmates, friends and family - it means so much to help support me in my goal of creating elite infinite free accessible math education worldwide! 😊 If you would like to support my channel beyond this (which of course would mean so much to me 🤗), please check out my "Patreon" page! The contributions here make a world of difference to helping me free up time to produce as much math content as possible (I currently do everything on my own), and there are also exclusive perks available when you signup (e.g., exclusive access to a private Discord server to chat and discuss math with me and other members, insider knowledge on my future YouTube content creation, priority replies to YouTube comments, public acknowledgements as a valued sponsor, a personalized thank you message etc.)! 😊 Become a Patreon Member 🤩:   / mathmasterywithamitesh   A HUGE thank you SO much to Alex and Stephan for their continued support of the channel as Ruby Members, and Nathan for their continued support of the channel as a Gold Member!! 🎊 My Channel Membership 🥇:    / @mathmasterywithamitesh   A HUGE thank you SO much to Aman, Bernard, Rob, and Shabeed for their continued support of the channel as Silver Members!! 🎉 You can also follow me on Instagram!   / math_mastery_with_amitesh