What are Elementary Matrices? | Linear Algebra
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We introduce elementary matrices. An
We introduce elementary matrices. An elementary matrix is a matrix that can be obtained from an identity matrix by one elementary row operation. We'll see that an elementary matrix can be multiplied by another matrix A to effect the same row operation that created it upon A. Also, elementary matrices are invertible and we see several examples.
0:00 Intro
0:41 Definition of Elementary Matrix
0:53 Examples of Elementary Matrices
1:59 Non-Examples of Elementary Matrices
3:15 Row Operations by Multiplication
5:50 Inverses of Elementary Matrices
8:17 Outro
Identifying Elementary Matrices: Identify Elementary Matrices | Linear...
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0:00 Intro
0:41 Definition of Elementary Matrix
0:53 Examples of Elementary Matrices
1:59 Non-Examples of Elementary Matrices
3:15 Row Operations by Multiplication
5:50 Inverses of Elementary Matrices
8:17 Outro
Identifying Elementary Matrices: Identify Elementary Matrices | Linear...
Linear Algebra course: Linear Algebra
Linear Algebra exercises: Linear Algebra Exercises
Join Wrath of Math to get exclusive videos, music, and more:
@wrathofmath
◉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: Patreon: 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: Instagram: wrathofmathedu
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My Math Rap channel: @mathbars2020
5 ماه پیش
در تاریخ 1403/01/17 منتشر شده
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