Скачать с ютуб Symmetric Matrices and their Properties | Linear Algebra в хорошем качестве

Symmetric Matrices and their Properties | Linear Algebra

We introduce symmetric matrices. We see examples and nonexamples of symmetric matrices, some basic properties a symmetric matrix has, and see how to produce a symmetric matrix using a matrix and its transpose. We'll also do an example of producing a symmetric with matrix multiplication. We also prove a product of matrices is symmetric if and only if those matrices commute. #linearalgebra 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 0:15 Definition of Symmetric Matrix 0:39 Examples of Symmetric Matrices 1:45 Nonexamples of Symmetric Matrices 2:27 Properties of Symmetric Matrices 3:24 (AB)^T=AB iff AB=BA 4:38 Invertible Symmetric Matrix 5:23 AA^T and A^TA 9:29 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