Gaussian elimination | Lecture 10 | Matrix Algebra for Engineers

We solve a system of three equations with three unknowns using Gaussian elimination (also known as Gauss elimination or row reduction).
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[@ProfJeffreyChasnov]

Find other Matrix Algebra videos in my playlist kzbin.info/aero/PLkZjai-2Jcxlg-Z1roB0pUwFU-P58tvOx

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[@ProfJeffreyChasnov]

@@jordanbrown262 Image is mirrored in the software. I am actually right handed.

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So do you do this in maths

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How hes writing in reverse.. Is that a mirror..

High quality and thus simple to learn. Thanks!

[@highbee700]

Thank you very much Jeff

[@markhopkins8731]

Thank you! I had half the idea from a text book but your explanation really made it clear. Row-echelon essentially isolates each term!

[@kenn_e]

Thank you Jeff, you just saved my life. I finished a guassian elimination class yesterday and I didn't get a thing from the lecture.

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Great explanation! cleared a few things up that weren't covered in detail in my class. Not sure how anyone could dislike this video lool

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People who still don't get it I suppose xD

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So helpful. Had to revise this for Leontief systems.

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[@user-bn7qk6me7r]

Concerning this augmented method where you use 2 to multiply the first roll and 1 to multiple the second roll, my question is, is it applicable even in other given equations like this to use same 2 & 1 for the first and second roll?

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Informative.

[@ogochukwuanyakora7280]

can we do R1-R2 must it always be addition of the two rows can we do subtraction?

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Great explanation thanks

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Thank you very much it helped a lot.

[@cwesinoble822]

Pls is it necessary to make the entry element 1 before solving

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[@nm3940]

Plz clarify.....Gaussian elimination has supremacy of solving all types of solutions over matrix inversion method and cramer rule...then why rouche capelli theorem is needed?

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How did he get that 4 he used in subtracting 6 to grt -2 pls

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[@ykzzy4876]

With the second pivot, we could've also added -2 to -2 making -2 +2. Or?

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