Gaussian Elimination and Gauss-Jordan Elimination Four-Variable Linear System

[@zvokz126]

WHAT, for the last one, why didn’t u multiply with the last column 16:40

[@Greenemath]

It's explained in the video if you keep watching. The short form is to look at the zero in row 4 and pause for a minute and think about what happens when you change each element in column 3 into a zero.

[@zvokz126]

Ohhhhh I see, thank you

[@Greenemath]

@@zvokz126 You are welcome, really surprised someone actually read my reply. Good luck with your studies :)

[@rda2743]

Thanks sir. Big help and detailed explanation how to solve the variables.

[@Greenemath]

I'm glad you found it helpful! :)

[@ramdhanakmaludin1530]

maybe it's too late to ask, but I'll still ask can we not swap the first row with the fourth row? will the end result be the same? or different?

[@Greenemath]

You can swap any two rows you want. Just like if you wrote out four equations it wouldn't matter the order.

[@ramdhanakmaludin1530]

Thank you sir, the solution you provide is very helpful

[@lillianidahosa3266]

Life saver:) Thank you so much for this video you are amazing at explaining things:)💯

[@Greenemath]

Awesome, glad to hear that.

[@Sd20067]

Thank you so much!! This video is really helpful 👍

[@Greenemath]

Glad it was helpful!

[@clarenceandino424]

How do you get the matrix?

[@Greenemath]

It comes from the equations. It's at 1:21 where I start filling it in.

[@ورودفايد]

What if we get a non-square matrix?? How do we determine the diagonal ?

[@Greenemath]

What's the example you are working on?

[@ورودفايد]

@@Greenemath I have 4 unknowns and 3 equations!! How do I find the upper triangle and determine the pivot??

[@Greenemath]

When you have n equations and m variables that n < m you must consider (m−n) variables free and fixed (they can take arbitrary value) then you try to solve your equation with n equations and n variables. You can post the question to reddit: www.reddit.com/r/LinearAlgebra/ or you can try the www.reddit.com/r/learnmath/, someone can explain and post pictures for you. Make sure you type the full problem out or take a clean picture of it written out. Good luck.

[@ورودفايد]

@@Greenemath Thank you very much, I appreciate your effort....

[@mantombazanefortunate]

Hi sir where can I find part 1

[@Greenemath]

I don't know what you mean by "part 1"

[@jaqbas5369]

Thank youuuu, Sir!!

[@Greenemath]

You're welcome!

[@jkpanes0708]

We were given a 5 equations with 5 unknowns and i cant solve it. Is it possible that the equations are incorrect and there are no values that can't satisfy them?

[@Greenemath]

It's always possible that you have a system with no solution. Given that you have five equations and five unknowns, I would plug it into Mathway and see what you are supposed to get. It would be really easy to make a mistake when working a problem of that magnitude.

[@adrianquinones3081]

Thank you mahbro!

[@Greenemath]

No problem

[@jijovarghese8662]

Thank you sir❤️

[@Greenemath]

Most welcome! 😎

[@Rewguz]

Gracias, Amigo :)

[@Greenemath]

denada

[@theamirrexie2380]

How about a 3×4

[@Greenemath]

What is the system you are working on?

[@theamirrexie2380]

@@Greenemath system de elimination de gausse jordan

[@2kWins]

Thank you so much

[@Greenemath]

You're most welcome

[@AmpongJnr.]

Thanks

[@Greenemath]

Welcome

[@manaal2868]

thank youu.

[@Greenemath]

You're welcome!

[@faizanshaikh6036]

When u take 2R2+R4 in 3rd step

[@Greenemath]

The value is correct, please check the video and watch what's going on. You are making a sign mistake and that is leading you to get the wrong value. One is positive and the other is negative. You have positive 14/3 and -6/3. The sum of these numbers is 8/3 which is shown in the video.

[@faizanshaikh6036]

You take wrong value of R4.its not 8/3it is -28/3

[@Greenemath]

The value of 8/3 is 100% correct. This is at 9:21. We are first multiplying 2 by 7/3 which gives us 14/3. Then we are adding -2. 14/3 - 6/3 = 8/3. You are probably getting confused with your signs.

[@maazosmany1291]

Unskippable add wanna earn fr even 12 mins of small video

[@Greenemath]

Ads support the channel and make these videos possible. If you hate ads, you can always install an ad blocker.

[@thelonely1938]

UNgrateful