How to Find the Rank of a Matrix (with echelon form) | Linear Algebra
The rank of a 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 reduce a matrix to row echelon form and count the nonzero rows, whose leading entries are called pivot numbers. We'll solve five rank of a matrix examples in this lesson. #linearalgebra
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Find Rank of a Matrix by Inspection: https://youtu.be/A-RZ2oOoAwk
Find Rank of a 3x3 Matrix: https://www.youtube.com/watch?v=bcnZm2paFAM
Find Rank of a 4x4 Matrix: https://youtu.be/-o8QOexmEWA
Finding Basis for the Row Space of a Matrix: https://youtu.be/F74TXjoruwg
Linear Algebra course: https://www.youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG
Linear Algebra exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc
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Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/
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Видео How to Find the Rank of a Matrix (with echelon form) | Linear Algebra канала Wrath of Math
Join Wrath of Math to get exclusive videos, music, and more:
https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
Find Rank of a Matrix by Inspection: https://youtu.be/A-RZ2oOoAwk
Find Rank of a 3x3 Matrix: https://www.youtube.com/watch?v=bcnZm2paFAM
Find Rank of a 4x4 Matrix: https://youtu.be/-o8QOexmEWA
Finding Basis for the Row Space of a Matrix: https://youtu.be/F74TXjoruwg
Linear Algebra course: https://www.youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG
Linear Algebra exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc
◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Abstract Algebra: https://amzn.to/3IjoZaO
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: https://www.patreon.com/join/wrathofmathlessons
◆ Donate on PayPal: https://www.paypal.me/wrathofmath
Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/
Follow Wrath of Math on...
● Instagram: https://www.instagram.com/wrathofmathedu
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Видео How to Find the Rank of a Matrix (with echelon form) | Linear Algebra канала Wrath of Math
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4 декабря 2022 г. 21:28:36
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