Diagonalizing Matrices and Diagonalizability | Linear Algebra скачать в хорошем качестве

Diagonalizing Matrices and Diagonalizability | Linear Algebra

We go over diagonalizing matrices and how to determine diagonalizability. We'll see several important theorems (and a proof) concerned with the diagonalizability of a matrix as well as see several examples, including showing a matrix is not diagonalizable. #linearalgebra Similar Matrices and Similarity Invariants:    • Similar Matrices and Similarity Invar...   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 Diagonalizable Matrix 1:03 An nxn Matrix is Diagonalizable if and only if it has n Linearly Independent Eigenvectors 1:33 Proof: Forward Direction 5:45 Proof: Reverse Direction 9:01 Distinct Eigenvalues have Linearly Independent Eigenvectors 10:05 Steps to Diagonalize a Matrix 11:23 Diagonalizing a 3x3 Matrix 15:54 Showing a Matrix isn't Diagonalizable 17:08 Check if a Matrix is Diagonalizable 18:15 Diagonalizable at a Glance 19:01 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