(New Version Available) Echelon Form, Pivots, and Free Variables

New Version: • Row Echelon Form, Pivo...
The version has additional info on free and basic variables. Definition of echelon form is slightly different but more common.
This video explains row echelon form of a matrix, pivots, and how to determine the number of free variables in a matrix that represents a system of equations.
Site: mathispower4u.com
Blog: mathispower4u.wordpress.com

[@JustinQuiksilver]

You did not tell us what the free variables are. That is the only reason I was watching this video!!

[@Mathispower4u]

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[@johnclasing4627]

I would just recommend in this video that since you're talking about how to figure out the number of free variables, it would help to know how to identify which variables are free and to determine how to solve the equation with that information.

[@anonInDE]

That's the whole reason I was watching this video... To know how to determine the free variables!

[@Mathispower4u]

New Version Available: czcams.com/video/Joowdk-_pAI/video.html

[@johnhurley8918]

Watching this video at 1.25 speed is perfect.

[@kkorhanodabas]

Gerçekten çok öğretici bir video olmuş umarım herkes faydalanmıştır. Çelınc videolarınızı sabırsızlıkla bekliyoruz. Yıl 2018 oldu hala izliyoruz.

[@Karim-ud9kl]

you mix p and q in the definition its not p-q its q-p!

[@Mathispower4u]

New Version Available: czcams.com/video/Joowdk-_pAI/video.html

[@Mathispower4u]

New version: czcams.com/video/Joowdk-_pAI/video.html

[@JessicaGaspan]

THANK GOODNESS. I'm so lost in my linear alg class right now. While the prof is already on Transformations, finding Ker(T) and Rng(T), I'm still struggling to figure out how to get dim[ker(T)] and dim[rng(T)]. Finally, after much googling, Khan academy, and your video, I'm starting to catch up. THANK YOU~

[@Kinbote00]

Don't you mean that if q > p, there are q - p free variables, rather than p - q? If q is greater than p, then p - q would be a negative number.

[@dragonbaobao]

"Sometimes it takes a really good teacher to enlighten you." --- MeMeMe
Thank you very much, you are a wonderful teacher, and you save me a lots of TYLENOL :)

[@sanamsanamrani6206]

Thanks sir your explanation method is very good

[@tamarao.7197]

Wow, finally some explanation that makes sense. Thanks a ton!

[@zwescientist]

Thank you so much you're the best. I did not understand this when my lecture was explaining. Thank you so much.

[@amuluskipper6965]

Thank you sir it was very helpful and clear too 😃🤗❤

[@arifuzzamantanin9881]

Thank you for clearing me about free variable

[@dadams5402]

What were the free variables? was it x1, x2 x3...?

[@madelinerose-m4q]

The p and the q were mixed up which really confused me. Also it would help if you described what a free variable is and what happens when there are more equations than variables

[@khashayar1992]

but you didn't mention which ones are the free variables!

[@guitarclaw1555]

You are a good man.

[@radekmartin6328]

I have a question regarding your calculation of free variable: the following system: 1a + 4b + 3c = 0, -2a -1c = 0, 8b + 5c = 0, by your calculation has not free variable but in reality it does....

[@wasimsalafi]

@Mathispower4u
Pivot defnition should be: The pivots of a matrix in echelon form are the first nonzero elements in each row

[@elisabethstathopoulos3676]

Does a column of just zeros not represent a variable ? (Just how a row of zeros doesn't represent an equation)

[@Alphasone0212]

how do you determine which ones are the free variables

[@Mathispower4u]

New Version: czcams.com/video/Joowdk-_pAI/video.html

[@VeeruN159]

Hello, kindly tell me how to solve the last set of equation.?

[@weixuen4795]

If zero free variable means no free variable ?

[@tedtdu]

How to write on PowerPoint with such ease?

[@yasminfarzan6371]

This helped me a lot; thanks a lot

[@ayushbanerjee1187]

Everything is correct except for one thing. If there are more than zero free variables, it does not mean the system of equations has an infinite number of solutions. The system could have no solutions if any row is in the form [0, 0, 0, ..., 0, b] where b is nonzero because there is no way 0x1 + 0x2 + ... + 0xn = b. This is the existence and uniqueness theorem.

[@instaminox]

helpful video!

[@tasnimulhasan5702]

thnx..good explanation

[@goldenraspberries713]

Can two pivots be stacked on top of each other in a column?

[@jman432432]

fuck no

[@goldenraspberries713]

Thanks; can you scale rows with zeroes in them or will you lose answers that way?

[@allankambindama7243]

LOL TRY THAT! WHAT DO YOU GET?

[@goldenraspberries713]

Lol; I was wrong, I was wrong! *bows and scrapes backwards out of the room*

[@komalchauhan3732]

very helpful video, thnk you...

[@MRAXELGRINDER]

awesome, really great thank you so much

[@DjVsal]

thanks

[@mosammatyeasmin2026]

Great!

[@BreakPointSC]

Kinbote00 you're absolutely right

[@toni_murphii]

Thank you. It helps a lot I appreciate it XD

[@sunzheyuan111]

tks

[@froggert119]

yeah thats great and all but i still don't know WHAT the free variables are. waste of 6 minutes.

[@mirna032xXx]

This is great! thanks

[@GautamKumar-hb4cc]

But who is free variable not mention

[@Mathispower4u]

Try this Version: czcams.com/video/Joowdk-_pAI/video.html

[@faheemullah5574]

thank u sir

[@dkstpgml18]

Damn helpful!

[@RamtinErKul]

not so very helpful, you didn´t show how to use the gree variables to get a solution. Will still give this a like tho.

[@AntoniaIvanovaStorm]

iloveyou

[@sadatarraafe2446]

nah thats wrong b

[@carnoises86]

No offense but the quote at the end is very stupid

[@Ben-sx5xb]

a lot of information is wrong. bad video.

[@Mathispower4u]

You didn't see the link to the new version with corrections? czcams.com/video/Joowdk-_pAI/video.html

[@punyoota2230]

What were the free variables? was it x1, x2 x3...?

[@RamtinErKul]

not so very helpful, you didn´t show how to use the gree variables to get a solution. Will still give this a like tho.