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Find Determinants with Row Reduction | Linear Algebra

We can calculate determinants using Gauss-Jordan elimination. If we reduced a matrix to triangular form the determinant is easy to calculate, then we can relate the determinant of the triangular matrix to the determinant of the original matrix by considering how the elementary row operations we performed must have changed the determinant. #linearalgebra How Row Operations Change the Determinant:    • How Row Operations Change the Determi...   Determinants by Cofactor Expansion:    • The Cofactor Definition of Determinan...   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 0:53 The Row Reduction Method 1:20 3x3 Matrix Determinant by Row Reduction 2:39 Another 3x3 Determinant 4:14 4x4 Matrix Determinant by Row Reduction 5:53 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