Elementary Row Operations Matrices 3x3 Linear System

Learn how to do elementary row operations to solve a system of 3 linear equations. We discuss how to put the augmented matrix in the correct form to identify the solutions and the correct order to do the steps in.
Related Videos to Help You Succeed!:
Gaussian Elimination with Back Substitution
• Gaussian Elimination w...
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[@lucianacantu8901]

Anyone else hating life Rn

[@Vegito-Black]

me bro i studied so hard and i got 27/100 in math😢😢😢😢😢

[@DarkPrincess_M]

Me

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[@rydermackinnon8113]

Is that a pun

[@prabhnoorsingh7365]

Rn classes?

[@patrickmayer9218]

Best Strategy for RREF:
Start by making bottom left 0.
Make every number zero except for the diagonal.
Multiply the equations so that the diagonals are 1s.
It's tedious either way, but you gave a very clear explanation. Thank you!

[@lillianidahosa3266]

thankyou !:)

[@adityamangal6994]

I was struck at this for hours now, this got cleared in a few minutes, thanks a lot sir !

[@nataliatrounce6401]

I have been struggling with matrix operations for a while and this is the best video I've found! Cleared the concept up in 10 minutes. Thank you very much, sir!

[@williamlun4506]

watched so many vids on this type of question, including khan academy. THIS IS THE BEST ONE. THANK YOU SOOOOOOO MUCH

[@MariosMathTutoring]

You’re welcome William!

[@tee5798]

I tried with Sal too but he kept saying add this row to 2 times the amount of this row and all the "this row"'s are IMPOSSIBLE to take notes on... "here", "there", "this one"... not easy to understand

[@gavinm5416]

This is the best video I've watched on RREF. Absolutely saved me.

[@christinenillosguin906]

THIS IS THE BEST EXAMPLE SO FAR I GOT FROM TH-cam! THANKYOU SIR.

[@katlegolebelwane3318]

I was able to find the inverse of a matrix using row operations for the first time after viewing this class. The tip about working from the bottom left corner, then focusing on the top right corner really helped.

[@p2p2p2p2p2p]

mario your videos saved me last semester in stats, now with your help i will pass linear algebra 🙏

[@solomonngwenya9091]

whowwww coooooooooool!!!! when I was introduced to this topic and hour ago, I was confused, but thanks for making it clear now

[@_DutchRaptorX_]

Having a test tommorow and had a lot of problems with this certain part, thank you for this information

[@ihavenobrain0]

I'm ur student, from India , respect u sir, thank you for the video,

[@mr.savagebanana3284]

after a long semester i now can do this confidently thanks

[@lar6347]

Thank you so much for teaching this ! Before I found this video I was struggling doing ero . But now I can do it smoothly . 😭

[@jesusjunkie631]

This was such a great help in coaching my daughter through her Algebra lesson this morning. Thank you!!

[@MariosMathTutoring]

Glad it was helpful!

[@KreaseCanFlyBitches]

You, my good sir, are THE GOAT

[@carolinabdepaula]

this video is a LIFE SAVER

[@alphoneskoipea]

Thank for helping those who really need to solve such problems

[@fabihaareeba9657]

i have my semester finals tomorrow, this helped me soo much!!

[@cakefactoryy]

Man, this is great; helped me alot! Thank you so much!

[@MariosMathTutoring]

Glad it helped!

[@melissajohn5075]

I have a test on this next week! thx dude

[@immortalspiritualbeing7037]

I find this video pretty easy to understand, as long as I first try the question by myself first and pause the video if I get stuck...Thank you !

[@missgrey4698]

ty so much🤗🤗🤗 sir

[@ethanstorey3485]

You could teach differential equations to a 5 year old. Awesome video sir. Thanks!

[@angelphumla4783]

You saved my life thank you so much 😭😭😭😭🙌🙌🙌🙌🙌🙌🙌

[@davaughnebrown9235]

your a great teacher

[@FOyBAT]

Thank you sensei.

[@yaseenabdalla8713]

Bless your soul you're a hero

[@muhdkhairulamirinum3985]

thank you sir

[@user-lw9xt7wd7v]

thankyou so much it was helpful to me.

[@panky_pooh]

Instead of doing 3R1+R2=R1, couldnt you have just multiplied R1 by -1/2, R2 by 1/6, and R3 by 1/2?

[@masked00000]

Excellent Explanation , just wanted to know that if i'm getting 1's diagonally but my values are different of x , y and z , will it still be correct

[@JustinPitera]

yes x y z in matrix are satisfying x y z from the original system

[@jeraldthomas4381]

Thank you so much

[@jeraldthomas4381]

Love from india

[@maxbrode9304]

This helped a lot man, really appreciate it

[@Trex150]

The best of the best 👌

[@alessandropierre8920]

Thank you professor, touchdown

[@ridzfatty1840]

Just wanna say thank you.🙏

[@thecatman9o9]

i know a master when i see one .... you are the shaolin dude of maths

[@timothytan3882]

Just a quick question: If you were to perform row operations on Row 1 and Row 2, could you choose whether to put the answer in row 1 or row 2 or is there a specified row the answer should go on?

[@MariosMathTutoring]

You can put the answer in either one Timothy!

[@timothytan3882]

Thank you so much!

[@fabiangonzalez209]

great video, hoping all your videos are this helpful

[@emmastout2259]

beautiful explanation im proud i understood that immediately

[@tinashekawonde8243]

This is really good work thank you so much

[@rishipatel7998]

Thank you so much sir

[@afia1512]

Thanks a lot

[@francissebintopscore2952]

Thanks a lot, Explained it so well.

[@CAROLUK]

Hi, I have a question about the third step at 3:38. Some textbooks said we can add a scalar multiple of one row to another row, and replace the latter row with that sum (Ex: 3 x row1 + row 2 = row2). In this tutorial, you multiplied second row with -2 and add to the 3rd row, but the new answer becomes 2nd row. I am a little bit confused…..

[@PhamousBoi]

Thanks Sir, I understand it in first go.

[@juvanasunil7378]

This video really helped!!! May Jesus bless you

[@nightingale_es]

Thank you so much!! I was so confused for days but now I finally figured out how to solve it :D

[@kristineveneles2938]

thank you!!

[@hypehuey6747]

My guy thank u

[@_2qxz123]

That was fun yo watch thanks

[@bizhanm3833]

Love ur lectures!!! Thannnkss!!!

[@kayceekpenike397]

Thank you so much! What if the coefficient for x in row one is more than 1? Would I need to make it one first or anytime while solving the problem?

[@LuckyRaj-ej2cz]

Sir y u start on last ro ?
And
Y u not star on any row ?

[@ellaangelatv7577]

I think I'm going crazyyyy after watching this LOL

[@rivashdeepnarain2836]

Brilliant

[@gabevandenhoeven4546]

So you can choose in which row of the rows you use you put the answer?

[@jayshukpandrangi8668]

absolute goat

[@abdulrafay8620]

Thank you Sir. May Allah reward you.

[@MariosMathTutoring]

You’re welcome Abdul!

[@Muscabeid1]

Thank you ❤️

[@MariosMathTutoring]

You’re welcome Muscab!

[@alizaidi2152]

THANKYOUUUUU

[@nurulhuda3759]

Tq, it's so easy to understand 😊

[@mariaalejandragalli9180]

thank you good video

[@MariosMathTutoring]

Glad you enjoyed it

[@pookieabc]

😭😇👏👏👏👏you made this so easy to understand thank you

[@haikal3152]

THANK YOU CIKGU BOTAK

[@Oscar-vs5yw]

This is good

[@langxia8938]

nice

[@sarahchoe9056]

Hi! Is Gaussian Elimination and Elementary Row Operations the same thing?

[@nasser-tb4kl]

THANK YOU SO MUCH

[@vonmuller7007]

Danke!

[@feriksadmadiredja765]

Hi sir, it is quite interesting video. I have a question about R1+ -1.R3 -> R3. on the third row why you get number "2" I still cannot find the reason? I have already calculated it.
1 1 1 ⎢ 2
2 -1 3 ⎢-7
0 0 2 ⎢ 6
The first zero is came from:
1 + -1.1 =
(+ meet - become -)
so it is
1 - 1.0 = 0
and the second zero is came from:
1 + -1.1 =
1 - 1.0 = 0
But for the last one:
1 + -1.-1 =
0. -1 = ...
is it supposedly 0 too?
I hope you can help me to find where the 2 come from?
I'm a new beginner in Algebra Linear, and I'd like to study.
Thank you

[@MariosMathTutoring]

Feriks, this other video I did may help you to understand it better: Gaussian Elimination with Back Substitution th-cam.com/video/jOC4fMgl7TI/w-d-xo.html

[@George-om7gf]

u just cant count bro

[@feriksadmadiredja765]

@@MariosMathTutoring thank you Mario

[@casexy3447]

Feriks Admadiredja lmao i thought the same thing. i’m so confused

[@feriksadmadiredja765]

@@George-om7gf Lol, yes I do not understand that part. But you are incapable to give the explication. So sad. The matter is unsolved by this. Lol

[@SiphesihleY]

Thank you!

[@MariosMathTutoring]

You’re welcome Siphesihle!

[@Zoe-ge5id]

By "non-zero constant" do you mean any number? Does the number have to come from one of the equations or can it be anything?

[@gingermuro6388]

i was confused on this too, did you ever find out? Also do you know if you can multiply the rows by fractions, ex 1/5 or something

[@xmimu9738]

@@gingermuro6388 yes you can

[@danielmiracle-ux2fx]

is it possible to solve it with two equations? like example
2x +3x =6
x -- y =2

[@creationmaster8514]

Bravo!

[@thegreatresetofthehumanrac664]

Wow someone who actually knows logic.

[@MariosMathTutoring]

Glad you liked the video!

[@niinabacha5316]

in the first step, why did you call the 6 a negative 6?

[@dogwithwigwamz.7320]

For my own reference : " You can add any 2 rows together; you can multiply any row by a non - zero constant. You can interchange any 2 rows and you can add or subtract any 2 rows together."

[@sudarshann7194]

No one here has to be sooo happy , he has done a mistake . x=-1 not 1

[@gmerkylecYclist]

Thank you, very helpful

[@MariosMathTutoring]

You’re welcome Kyle!

[@thejust219]

Thank you!!

[@MariosMathTutoring]

You’re welcome!

[@williamahyoung4504]

Quick questn: is the order of the first augmented matrix a 3x3? Or 3x4?

[@MariosMathTutoring]

Isaac, The dimensions are 3 x 4. Three rows by four columns.

[@williamahyoung4504]

Thank youuuu 👌

[@williamahyoung4504]

@@MariosMathTutoring have a good day/night there sir. Much appreciated

[@josphatmbugua310]

Can you sometime do more challenging quastions

[@an2niotransitproductions813]

You can do this with any 3 equations right?

[@xaio-xen4433]

Does this work for things like a 2x3?

[@MariosMathTutoring]

Yes.

[@jadekw7285]

Thankyou so much

[@MariosMathTutoring]

You’re welcome Jade!

[@daniilkononov7271]

why? what's the point of doing so?

[@KamiK4ze]

this is like a rubiks cube

[@ummeairen775]

Thanks

[@user-ju5fr7by2v]

yur my saveoure

[@EnglishWithAliAkbar]

This is Gauss Jordan method, not Elementary Row operation

[@MariosMathTutoring]

…using elementary row operations

[@gizmssahinn]

In some examples we should change the raws but I didn’t understand when should we change 😭

[@RaviKumar-ek4jq]

X value have 7 enshrined of 1

[@johnsonpark3096]

holy shit thank you

[@Pixiee_Stardust]

I still dont get it wwhyyyyyy

[@snope1779]

saved me. My professor is terrible.

[@pradeepballa2712]

jhonny sins teaching linear algebra 😂😂

[@amit_kushwaha707.]

🙏

[@betadias1665]

Why couldn't you just do R1-R3, instead of R1 + -R3