Chapter 04.09: Lesson: Ill Conditioned and Well Conditioned System of Equations

[@ruchi315]

Thankyou so much sir for such a excellent explanation and also I wanted to say, your english communication skills are too good

[@kens_empire8366]

How did you get 2 and 1 as values for x and y please

[@totongsaipul]

Before this, I read many pages in the internet about well-posed and ill-posed, and still didnt understand well about those topics. After watching this video once, I completely understand 'now what the definition of them..LOL.

[@numericalmethodsguy]

Thank you. To get even more help, subscribe to the numericalmethodsguy channel kzbin.info, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources. Follow the numerical methods blog at AutarKaw.org. You can also take a free massive open online course (MOOC) at canvas.instructure.com/enroll/KYGTJR Share these links with your friends through social media and email.

[@globalcitizen7200]

what a great man, really helped us here in SJTU , thanks a lot

[@numericalmethodsguy]

Get more help at ma.mathforcollege.com

[@catkamikazee136]

The sound is too left panned can you please fix that? Great video though!

[@gulshanjangid3470]

If you are on windows, I would recommend to turn the mono audio on in the settings, just for this video

[@ayushshrivastav403]

Thank u sir love from India

[@Yo_boi_20-foot_burmese_python]

भले आदमी हो गुरुजी आप । शत शत प्रणाम आपको ।

[@abdulghaffar5258]

Which book you are following?

[@numericalmethodsguy]

It is our own book. Read it for free at mathforcollege.com/ma/book2021/ Also go to ma.mathforcollge.com for all resources. Tell others about these resources.

[@1SpeakerOfPeace1]

This is a very good explanation. Thank you very much!

[@habibaatique685]

when the values of coefficient matrix are changed keeping the constant matrix same then the values of x and y are wrong...

[@kojo.]

how do calculate for x and y

[@numericalmethodsguy]

You can use substitution or Gaussian elimination!

[@kojo.]

Thanks

[@trulyharsh]

I know its a very late reply but posting anyways for anybody else who comes here with the same question: You can use:- 1) Gauss Elimination Method (Direct Method) 2) Gauss Elimination with Partial Pivoting 3) Gauss-Jordan Elimination These are some ways of solving x, y, z... for any system of linear equations

[@holyshit922]

First matrix is pretty close to singular matrix and is ill conditioned

[@numericalmethodsguy]

Well, the best way to check is to calculate the condition number of a matrix. The determinant is a poor way to check for well- and ill-conditioning of a square matrix.

[@holyshit922]

​@@numericalmethodsguy This is only my observarion Is it coincidence ? When we have matrix which is close to singular matrix we will divide by a number close to zero to get solution but division by number close to zero may cause numerical problems Thats why I didn't reject this observation

[@raviprakash5987]

Crystal clear explanation। Thank you sir

[@ΧαράΠ-ε9γ]

You explained it very well! Thank you! You helped me a lot!

[@numericalmethodsguy]

Thank you. For more details, go to ma.mathforcollege.com

[@elprofeCristianJimenez]

Thank you for making it easy!

[@hansgopherfish6367]

Love the worked example! Thanks!

[@alvarogustavotalaveralopez5104]

Good explain!!!

[@mevo8718]

herkes niye hintli??

[@engshymaaqasim9]

غير توضح ال ٢ و١ منين اجت

[@iTubeItalia]

Thanks for making it simple! :)

[@iTubeItalia]

Where's explained well vs ill conditioned method?

[@numericalmethodsguy]

+iTubeItalia Go and watch all videos at ma.mathforcollege.com/mainindex/09adequacy/index.html . Spread the word about the matrix algebra open courseware - ma.mathforcollege.com/index.html

[@hafizumartabbassam6989]

thank u sir.