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We see how performing elementary row operations on a matrix changes the determinant. Using this knowledge, we can easily find the determinants of elementary matrices. We go over the fact that a matrix with proportional rows or columns has a determinant of 0, and we see how to find the determinant using row reduction. #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 0:29 The Effects of Elementary Row Operations 4:10 Determinants of Elementary Matrices 6:10 Proportional Rows Implies Determinant 0 7:22 Finding Matrix Determinant by Row Reduction ◉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