Wrath of Math | Linear Systems Using Row Operations and Back Substitution | Linear Algebra Exercises @WrathofMath | Uploaded 2 months ago | Updated 9 hours ago
We show how to solve linear systems of equations using row operations on an augmented matrix and back substitution. This process is known as Gaussian elimination. We'll solve an example of a linear system with a unique solution and a linear system with infinitely many solutions. #linearalgebra
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Gaussian Elimination: youtu.be/seet9VyHo3Q
Linear Algebra course: youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG
Linear Algebra exercises: youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc
0:00 Intro
0:22 Augmented Matrix
1:15 Elementary Row Operations
2:10 Row Reduction
5:14 Back Substitution
6:45 Infinite Solutions Example
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Proofs and Set Theory: amzn.to/367VBXP (available for free online)
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Discrete Math: amzn.to/3qfhoUn
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★DONATE★
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◆ Donate on PayPal: 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.
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We show how to solve linear systems of equations using row operations on an augmented matrix and back substitution. This process is known as Gaussian elimination. We'll solve an example of a linear system with a unique solution and a linear system with infinitely many solutions. #linearalgebra
Join Wrath of Math to get exclusive videos, music, and more:
youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
Gaussian Elimination: youtu.be/seet9VyHo3Q
Linear Algebra course: youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG
Linear Algebra exercises: youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc
0:00 Intro
0:22 Augmented Matrix
1:15 Elementary Row Operations
2:10 Row Reduction
5:14 Back Substitution
6:45 Infinite Solutions Example
◉Textbooks I Like◉
Graph Theory: amzn.to/3JHQtZj
Real Analysis: amzn.to/3CMdgjI
Abstract Algebra: amzn.to/3IjoZaO
Linear Algebra: amzn.to/43xAWEz
Calculus: amzn.to/3PieD1M
Proofs and Set Theory: amzn.to/367VBXP (available for free online)
Statistics: amzn.to/3tsaEER
Discrete Math: amzn.to/3qfhoUn
Number Theory: amzn.to/3JqpOQd
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons
◆ Donate on PayPal: 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.com/wrathofmathedu
● Facebook: facebook.com/WrathofMath
● Twitter: twitter.com/wrathofmathedu
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured