Gaussian Elimination | Linear Algebra #8

📚About
Gaussian elimination, a.k.a row-reduction, is a technique used to solve systems of linear equations. Given a system Ax = b, the coefficients of the matrix A along with vector b are stacked next to each other [ A | b ] to form the so-called Augmented matrix. Then, using an appropriate sequence of row-operations, we can reduce the augmented matrix to an upper-triangular one to solve in a backward manner. The lecture is outlined as follows:

00:00 What does Gaussian Elimination do ?
01:12 Upper Triangular Matrix
02:38 Why do we perform Gaussian Elimination ?
03:16 BackSolving: Solving by back-substitution
05:21 The Gaussian Elimination Procedure
09:06 Example on the Gaussian Elimination Procedure
13:40 Summary

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[yanirasidney]

*Gauss*: Hey Ahmad, how about we use Triangular form.*Ahmad*: Hold my beer, and watch me do it in 11:25

[kailahertel]

Wow thanks for 've helped me so many ) Even on your other just randomly click instructional/tutorial videos that i see (especially the first one that pops out in the long list) and it's only now that i discover that i've been listening to the same person every time i try to search for tutorials in linear algebra and also numerical analysis and numerical linear sure if they are really related but I Know that numerical methods from linear algebra are to be used in numerical linear algebra.(ugh i suck in math and you helped me improve that).Also, you have a soothing helps me focus on your tutorial more :) Thanks from USA.

[brettrebelo]

Fantastic lesson! You just saved a soul from drowning !!!!

[vanessamartin]

Asian Parents: “This is some _Nice warm-up_"

[elinorhubert]

*Ahmad Bazzi* PLEASE BECOME A PROFESSOR! I want u for all my classes!

[waltervalade]

Ahmad Bazzi when on earth are the Signal Processing videos coming ?

[rogeliomatthews]

after a month, the Bob Ross of math is back

[pandorawenthold]

Decent explanation, but I had to google around a bit to learn how to do these if the matrix isn't 90% already have had less 1's and 0's in the right places at the start and it would have been up to the level and depth of your other instance you don't explain whether you should start by making your diagonal 1's first, or turning the other entries into 0's way you explain it doesn't make it didn't know you could switch the rows around, or that you could add more than two rows to get your 1's and 0's, etc.*Still love your stuff though*

[jacquesarp]

my professor spent 2 hrs explaining what has been written on can't thank you can I personally donate to your channel ?

[raypalm]

_“The hardest problem on the hardest math test”_

[tommyholloway]

My education was a scam, they took a loan for lecture is worth millions compared my University.*THANK YOU YOUTUBE FOR SUGGESTING THIS*