Find Rank of a 3x3 Matrix (with row echelon form) | Linear Algebra Exercises

The rank of a 3x3 matrix is the number of linearly independent rows or the number of linearly independent columns the matrix has. These definitions are equivalent. To find this number, we can perform row operations to transform a matrix to row echelon form and or reduced row echelon form and count the nonzero rows, whose leading entries are called pivot numbers. We'll find the rank of three 3 by 3 matrices in today's linear algebra lesson. #linearalgebra How to Find the Rank of a Matrix:    • How to Find the Rank of a Matrix (with ech...   Find the Rank of a 4x4 Matrix:    • Find the Rank of a 4x4 Matrix (with echelo...   Finding Basis for the Row Space of a Matrix:    • Finding Basis for the Row Space of a Matri...   Linear Algebra course:    • Linear Algebra   Linear Algebra exercises:    • Linear Algebra Exercises   ◉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, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, 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