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
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Пікірлер: 158

  • @lucianacantu8901
    @lucianacantu89012 жыл бұрын

    Anyone else hating life Rn

  • @Vegito-Black

    @Vegito-Black

    6 ай бұрын

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

  • @DarkPrincess_M

    @DarkPrincess_M

    6 ай бұрын

    Me

  • @arfaansharief5365

    @arfaansharief5365

    4 ай бұрын

    ​@@Vegito-Blackripp

  • @rydermackinnon8113

    @rydermackinnon8113

    2 ай бұрын

    Is that a pun

  • @prabhnoorsingh7365

    @prabhnoorsingh7365

    Ай бұрын

    Rn classes?

  • @patrickmayer9218
    @patrickmayer9218 Жыл бұрын

    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

    @lillianidahosa3266

    Жыл бұрын

    thankyou !:)

  • @adityamangal6994
    @adityamangal69943 жыл бұрын

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

  • @williamlun4506
    @williamlun45064 жыл бұрын

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

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome William!

  • @tee5798

    @tee5798

    2 жыл бұрын

    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

  • @nataliatrounce6401
    @nataliatrounce64012 жыл бұрын

    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!

  • @gavinm5416
    @gavinm5416 Жыл бұрын

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

  • @christinenillosguin906
    @christinenillosguin9063 жыл бұрын

    THIS IS THE BEST EXAMPLE SO FAR I GOT FROM KZread! THANKYOU SIR.

  • @katlegolebelwane3318
    @katlegolebelwane3318 Жыл бұрын

    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.

  • @lar6347
    @lar63473 жыл бұрын

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

  • @p2p2p2p2p2p
    @p2p2p2p2p2p2 жыл бұрын

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

  • @solomonngwenya9091
    @solomonngwenya90913 жыл бұрын

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

  • @_DutchRaptorX_
    @_DutchRaptorX_ Жыл бұрын

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

  • @mr.savagebanana3284
    @mr.savagebanana32842 жыл бұрын

    after a long semester i now can do this confidently thanks

  • @immortalspiritualbeing7037
    @immortalspiritualbeing70372 жыл бұрын

    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 !

  • @melissajohn5075
    @melissajohn50753 жыл бұрын

    I have a test on this next week! thx dude

  • @alphoneskoipea
    @alphoneskoipea Жыл бұрын

    Thank for helping those who really need to solve such problems

  • @KreaseCanFlyBitches
    @KreaseCanFlyBitches3 жыл бұрын

    You, my good sir, are THE GOAT

  • @kayceekpenike397
    @kayceekpenike3972 жыл бұрын

    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?

  • @ihavenobrain0
    @ihavenobrain03 жыл бұрын

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

  • @jesusjunkie631
    @jesusjunkie6315 ай бұрын

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

  • @MariosMathTutoring

    @MariosMathTutoring

    5 ай бұрын

    Glad it was helpful!

  • @fabihaareeba9657
    @fabihaareeba9657 Жыл бұрын

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

  • @fabiangonzalez209
    @fabiangonzalez2092 жыл бұрын

    great video, hoping all your videos are this helpful

  • @emmastout2259
    @emmastout22592 жыл бұрын

    beautiful explanation im proud i understood that immediately

  • @maxbrode9304
    @maxbrode9304 Жыл бұрын

    This helped a lot man, really appreciate it

  • @bizhanm3833
    @bizhanm38333 жыл бұрын

    Love ur lectures!!! Thannnkss!!!

  • @alessandropierre8920
    @alessandropierre89203 жыл бұрын

    Thank you professor, touchdown

  • @tinashekawonde8243
    @tinashekawonde82433 жыл бұрын

    This is really good work thank you so much

  • @francissebintopscore2952
    @francissebintopscore29522 жыл бұрын

    Thanks a lot, Explained it so well.

  • @nightingale_es
    @nightingale_es3 жыл бұрын

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

  • @yaseenabdalla8713
    @yaseenabdalla87133 жыл бұрын

    Bless your soul you're a hero

  • @ethanstorey3485
    @ethanstorey34853 жыл бұрын

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

  • @angelphumla4783
    @angelphumla47832 жыл бұрын

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

  • @carolina9715
    @carolina971511 ай бұрын

    this video is a LIFE SAVER

  • @cakefactoryy
    @cakefactoryyАй бұрын

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

  • @MariosMathTutoring

    @MariosMathTutoring

    Ай бұрын

    Glad it helped!

  • @_2qxz123
    @_2qxz1232 жыл бұрын

    That was fun yo watch thanks

  • @sarahchoe9056
    @sarahchoe9056 Жыл бұрын

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

  • @PhamousBoi
    @PhamousBoi2 жыл бұрын

    Thanks Sir, I understand it in first go.

  • @FOyBAT
    @FOyBAT Жыл бұрын

    Thank you sensei.

  • @davaughnebrown9235
    @davaughnebrown92353 жыл бұрын

    your a great teacher

  • @pookieabc
    @pookieabc3 жыл бұрын

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

  • @user-lw9xt7wd7v
    @user-lw9xt7wd7v Жыл бұрын

    thankyou so much it was helpful to me.

  • @gabevandenhoeven4546
    @gabevandenhoeven45463 жыл бұрын

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

  • @masked00000
    @masked000003 жыл бұрын

    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

    @JustinPitera

    2 жыл бұрын

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

  • @ridzfatty1840
    @ridzfatty18402 жыл бұрын

    Just wanna say thank you.🙏

  • @Trex150
    @Trex150 Жыл бұрын

    The best of the best 👌

  • @nurulhuda3759
    @nurulhuda37593 жыл бұрын

    Tq, it's so easy to understand 😊

  • @nasser-tb4kl
    @nasser-tb4kl3 жыл бұрын

    THANK YOU SO MUCH

  • @panky_pooh
    @panky_pooh4 жыл бұрын

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

  • @kristineveneles2938
    @kristineveneles2938 Жыл бұрын

    thank you!!

  • @rishipatel7998
    @rishipatel7998 Жыл бұрын

    Thank you so much sir

  • @thecatman9o9
    @thecatman9o92 жыл бұрын

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

  • @afia1512
    @afia15122 күн бұрын

    Thanks a lot

  • @SiphesihleY
    @SiphesihleY4 жыл бұрын

    Thank you!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome Siphesihle!

  • @muhdkhairulamirinum3985
    @muhdkhairulamirinum39852 жыл бұрын

    thank you sir

  • @missgrey4698
    @missgrey46983 жыл бұрын

    ty so much🤗🤗🤗 sir

  • @Muscabeid1
    @Muscabeid14 жыл бұрын

    Thank you ❤️

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome Muscab!

  • @creationmaster8514
    @creationmaster85142 жыл бұрын

    Bravo!

  • @CAROLUK
    @CAROLUK2 ай бұрын

    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…..

  • @thejust219
    @thejust2193 жыл бұрын

    Thank you!!

  • @MariosMathTutoring

    @MariosMathTutoring

    3 жыл бұрын

    You’re welcome!

  • @gmerkylecYclist
    @gmerkylecYclist4 жыл бұрын

    Thank you, very helpful

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome Kyle!

  • @rivashdeepnarain2836
    @rivashdeepnarain28362 жыл бұрын

    Brilliant

  • @alizaidi2152
    @alizaidi21522 жыл бұрын

    THANKYOUUUUU

  • @jeraldthomas4381
    @jeraldthomas43813 жыл бұрын

    Thank you so much

  • @jeraldthomas4381

    @jeraldthomas4381

    3 жыл бұрын

    Love from india

  • @vonmuller7007
    @vonmuller7007 Жыл бұрын

    Danke!

  • @Zoe-ge5id
    @Zoe-ge5id2 жыл бұрын

    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

    @gingermuro6388

    Жыл бұрын

    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

    @xmimu9738

    Жыл бұрын

    @@gingermuro6388 yes you can

  • @Oscar-vs5yw
    @Oscar-vs5yw Жыл бұрын

    This is good

  • @danielmiracle-ux2fx
    @danielmiracle-ux2fx11 ай бұрын

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

  • @LuckyRaj-ej2cz
    @LuckyRaj-ej2cz4 жыл бұрын

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

  • @ellaangelatv7577
    @ellaangelatv75773 жыл бұрын

    I think I'm going crazyyyy after watching this LOL

  • @hypehuey6747
    @hypehuey67472 ай бұрын

    My guy thank u

  • @niinabacha5316
    @niinabacha53163 жыл бұрын

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

  • @juvanasunil7378
    @juvanasunil73782 жыл бұрын

    This video really helped!!! May Jesus bless you

  • @xaio-xen4433
    @xaio-xen44334 жыл бұрын

    Does this work for things like a 2x3?

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Yes.

  • @josphatmbugua310
    @josphatmbugua3103 жыл бұрын

    Can you sometime do more challenging quastions

  • @timothytan3882
    @timothytan38824 жыл бұрын

    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

    @MariosMathTutoring

    4 жыл бұрын

    You can put the answer in either one Timothy!

  • @timothytan3882

    @timothytan3882

    4 жыл бұрын

    Thank you so much!

  • @jayshukpandrangi8668
    @jayshukpandrangi866810 ай бұрын

    absolute goat

  • @mariaalejandragalli9180
    @mariaalejandragalli918011 ай бұрын

    thank you good video

  • @MariosMathTutoring

    @MariosMathTutoring

    11 ай бұрын

    Glad you enjoyed it

  • @jadekw7285
    @jadekw72854 жыл бұрын

    Thankyou so much

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome Jade!

  • @williamahyoung4504
    @williamahyoung45044 жыл бұрын

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

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

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

  • @williamahyoung4504

    @williamahyoung4504

    4 жыл бұрын

    Thank youuuu 👌

  • @williamahyoung4504

    @williamahyoung4504

    4 жыл бұрын

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

  • @an2niotransitproductions813
    @an2niotransitproductions8133 жыл бұрын

    You can do this with any 3 equations right?

  • @langxia8938
    @langxia89383 жыл бұрын

    nice

  • @haikal3152
    @haikal3152 Жыл бұрын

    THANK YOU CIKGU BOTAK

  • @thegreatresetofthehumanrac664
    @thegreatresetofthehumanrac6644 жыл бұрын

    Wow someone who actually knows logic.

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad you liked the video!

  • @abdulrafay8620
    @abdulrafay86204 жыл бұрын

    Thank you Sir. May Allah reward you.

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome Abdul!

  • @feriksadmadiredja765
    @feriksadmadiredja7654 жыл бұрын

    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

    @MariosMathTutoring

    4 жыл бұрын

    Feriks, this other video I did may help you to understand it better: Gaussian Elimination with Back Substitution kzread.info/dash/bejne/nIN3lsiGl8-dhKw.html

  • @George-om7gf

    @George-om7gf

    4 жыл бұрын

    u just cant count bro

  • @feriksadmadiredja765

    @feriksadmadiredja765

    4 жыл бұрын

    @@MariosMathTutoring thank you Mario

  • @casexy3447

    @casexy3447

    4 жыл бұрын

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

  • @feriksadmadiredja765

    @feriksadmadiredja765

    4 жыл бұрын

    @@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

  • @gizmssahinn
    @gizmssahinn Жыл бұрын

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

  • @amit_kushwaha707.
    @amit_kushwaha707. Жыл бұрын

    🙏

  • @johnsonpark3096
    @johnsonpark30962 жыл бұрын

    holy shit thank you

  • @dogwithwigwamz.7320
    @dogwithwigwamz.73209 ай бұрын

    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
    @sudarshann71943 жыл бұрын

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

  • @KamiK4ze
    @KamiK4ze2 жыл бұрын

    this is like a rubiks cube

  • @user-ju5fr7by2v
    @user-ju5fr7by2v2 ай бұрын

    yur my saveoure

  • @RaviKumar-ek4jq
    @RaviKumar-ek4jq Жыл бұрын

    X value have 7 enshrined of 1

  • @terrellsanders7370
    @terrellsanders73704 жыл бұрын

    🙇🏾‍♂️🙇🏾‍♂️🙇🏾‍♂️

  • @daniilkononov7271
    @daniilkononov7271 Жыл бұрын

    why? what's the point of doing so?

  • @EnglishWithAliAkbar
    @EnglishWithAliAkbarАй бұрын

    This is Gauss Jordan method, not Elementary Row operation

  • @MariosMathTutoring

    @MariosMathTutoring

    Ай бұрын

    …using elementary row operations

  • @Pixiee_Stardust
    @Pixiee_Stardust3 жыл бұрын

    I still dont get it wwhyyyyyy

  • @snope1779
    @snope17793 жыл бұрын

    saved me. My professor is terrible.

  • @ummeairen775
    @ummeairen7752 жыл бұрын

    Thanks

  • @pradeepballa2712
    @pradeepballa2712 Жыл бұрын

    jhonny sins teaching linear algebra 😂😂