Finding the Inverse of an n x n Matrix Using Row Operations

From Thinkwell's College Algebra
Chapter 8 Matrices and Determinants, Subchapter 8.4 Inverses of Matrices

Пікірлер: 159

  • @DsiakMondala
    @DsiakMondala7 жыл бұрын

    I swear to Celestia I know row operations but every time I try I get a basic operation wrong and it all falls apart. I'm literally running out of paper and hope. That side, great lesion! video and audio is high quality, you speak clearly and your way of showing the steps is rly g00d.

  • @heyfam1341
    @heyfam13415 жыл бұрын

    6:35 "I just faked you out", now that's gangsta

  • @BarnezGFX

    @BarnezGFX

    4 жыл бұрын

    I subbed after he did this haha

  • @sebastian7494
    @sebastian74947 жыл бұрын

    this is probably the best tutorial video on how to find the inverse of a matrix using elementary transformations. everything has been explained very thoroughly. ty sir!

  • @diegohackel7869
    @diegohackel78694 жыл бұрын

    You just have to love it when you google a math video and this guy pops up. What a bloody legend :)

  • @davidthaler7018
    @davidthaler70185 жыл бұрын

    Easier start: Swap rows 1 and 3 of the augmented matrix. Now you have a 1 in the upper left corner. Doesn’t matter that the identity portion on the right is out-of-order; you’re gonna change it anyway.

  • @yousifhazem2999
    @yousifhazem29995 жыл бұрын

    You saved much time for me before the midterm exam .thank you from Egypt

  • @christaylor8142
    @christaylor81428 жыл бұрын

    Guys like yourself and many others on you tube make learning possible if people struggle with a certain concept and do not pick it up when first explained by a teacher. Thank you

  • @jamessimungala7132
    @jamessimungala7132 Жыл бұрын

    I like the way you teach linear Algebra for sure you have helped me alot

  • @pierrefabela
    @pierrefabela7 жыл бұрын

    I'm really diggin this paper cut-out method of teaching!

  • @TT-hs2jx
    @TT-hs2jx5 жыл бұрын

    Thank you for making this much easier to learn

  • @tyronefrielinghaus3467
    @tyronefrielinghaus346711 ай бұрын

    That...was great! Thanks so much. 1st time here...looking fwd to your other videos. Also : great 'fun', enthusiastic presence...watching this just after rtn from work...feel engaged again...which fir me after getting home is always a problem. Ty from South Africa...

  • @Mugen_YG
    @Mugen_YG4 жыл бұрын

    this is the most infuriating topic so far. Any simple mistake can destroy your entire answer...

  • @reengaesh7545

    @reengaesh7545

    4 жыл бұрын

    lol EXACTLY 😞

  • @aku7598

    @aku7598

    3 жыл бұрын

    Use app to check

  • @maruf7956
    @maruf79565 жыл бұрын

    Its harder than it looks

  • @JugglerRK
    @JugglerRK6 жыл бұрын

    excellent video. Love the typed out visuals

  • @ishitahumnabadkar7855
    @ishitahumnabadkar78554 жыл бұрын

    Omg thankyou so much this cleared my concept entirely

  • @SalemKorayem
    @SalemKorayem6 жыл бұрын

    Thank you sir. I do it in Excele sheet, it was fantastic.

  • @ahmedmahay
    @ahmedmahay6 жыл бұрын

    Loved the tutorial...well done!

  • @jackgill6519
    @jackgill65194 жыл бұрын

    Awesome video, great tutorial for a somewhat lengthy operation😃

  • @AviciaBT
    @AviciaBT7 ай бұрын

    thank you very much ! this is how teaching should look like 👌

  • @MrDoekoe
    @MrDoekoe7 жыл бұрын

    Hey thank you so much man, you've got the best instrucional video's by far

  • @ThinkwellVids

    @ThinkwellVids

    7 жыл бұрын

    Thank you for letting us be part of your thinking well. :-)

  • @mayharmon6948
    @mayharmon69482 жыл бұрын

    Thinking about using row operations to invert 3x3 matrices is enjoyable, just like a big old chocolate ice cream cone! But seriously, this was a fine explanation and it's a good deal clearer now. So much appreciation.

  • @usmankamal2341
    @usmankamal23415 жыл бұрын

    Excellent lecture sir. Much appreciated

  • @nooberhour2592
    @nooberhour25928 жыл бұрын

    Thanks so much for this video. I have had a very tough time to understand this because I am taught by a Korean Teacher in class. You may know how some Korean pronounce words in English. I have never got low marks (4/10) on quiz before. I hope this would help me to get better scores next time since I understand this well which relates to the next lesson ( Rank ).

  • @topiado2073
    @topiado20734 жыл бұрын

    Sir can we use it on finding any type of inverse matrix plizz reply

  • @joelsmith7078
    @joelsmith70783 жыл бұрын

    Just to clarify. This finds the Left inverse Matrix, to find the right inverse matrix, you'd do the same thing, but switching the sides correct? I always get mixed up with which side gives which Matrix, but I know that since AB=/=BA, A^-R=/=A^-L where A^-r is the right matrix, and A^-L is the left inverse matrix namely A^-L*A=I and AA^-R=I

  • @nkcubekomayephu5477
    @nkcubekomayephu54774 жыл бұрын

    Thank you very much Sir. That was very helpful.

  • @summygofrsya612
    @summygofrsya6126 жыл бұрын

    thank u so much sir u explained so easy and effective once again thank u.

  • @bipashabiswas8278
    @bipashabiswas82789 жыл бұрын

    Well explained sir. Thank you. :-)

  • @viktorolsson5927
    @viktorolsson59277 жыл бұрын

    Ok, I'm having some trouble grasping what this actually means. If you have a system in augmented matrix form like this: [ a b | 1 ] [ c d | 1 ] I know that corresponds to the system: ax + by = x cx + dy = y But what does this correspond to? [ a b | 1 0 ] [ c d | 0 1 ] Is it the same thing?

  • @birhanyihunie3131

    @birhanyihunie3131

    7 жыл бұрын

    Viktor Olsson so nice

  • @zibusisonkiwane9506
    @zibusisonkiwane9506 Жыл бұрын

    Thank you for such a video, confusion cleared... Thank you

  • @Reivivus
    @Reivivus6 жыл бұрын

    It's so much easier to compute the adjunct matrix via the method of cofactors, and then multiply by 1 over the determinant. It's so much easier. Takes away all the guessing.

  • @walterpu8357

    @walterpu8357

    5 жыл бұрын

    row reduction is faster if have enough practice. Cofactor is easier but it requires more calculation

  • @donlansdonlans3363

    @donlansdonlans3363

    4 жыл бұрын

    Theres no guessing, its an algorithm

  • @cuentafake140
    @cuentafake1405 жыл бұрын

    Can you do the same with columns?

  • @Shafranlive
    @Shafranlive8 жыл бұрын

    well explained really cool thanks a lot..

  • @sumanrefractory6345
    @sumanrefractory63457 жыл бұрын

    how to find inverse of 6x6 matrix can we use d same rule?????

  • @newtonocharimenyenya2458
    @newtonocharimenyenya24583 жыл бұрын

    A very Great piece.

  • @babypig1220
    @babypig12209 жыл бұрын

    It really clear and helpful~ Thanks lots sir~

  • @abubacker1167
    @abubacker11674 жыл бұрын

    Man, you are brilliant

  • @soniaraj5999
    @soniaraj59995 жыл бұрын

    Thank you soo much sir, it helped me to solve the questions more easier ☺️

  • @hemo4208
    @hemo42088 жыл бұрын

    thank u so so much you're amazing

  • @AmanUllah-qq8wt
    @AmanUllah-qq8wt5 жыл бұрын

    you are awesome sir, thank you

  • @katamveerarohith3300
    @katamveerarohith33007 жыл бұрын

    thanks this is really helpful

  • @ghufranranjha9700
    @ghufranranjha97002 жыл бұрын

    a very good methodolgy of teaching

  • @tuannguyen-nh4vv
    @tuannguyen-nh4vv4 жыл бұрын

    Thanks for your tutorial

  • @hirak214
    @hirak2145 жыл бұрын

    Thanks a lot, it helped!

  • @ShamsThoughts
    @ShamsThoughts8 жыл бұрын

    Thank you, you are helping me to survive my final tomorrow.

  • @chriscc14

    @chriscc14

    8 жыл бұрын

    same lol

  • @HungTran-mn2nf

    @HungTran-mn2nf

    6 жыл бұрын

    Out of curiosity, did you actually survive it ?....

  • @iluvGodnUSA
    @iluvGodnUSA8 жыл бұрын

    You are the best. Ever.

  • @anjanbhattacharjeesir
    @anjanbhattacharjeesir10 ай бұрын

    Excellent explanation

  • @tonnyogaa8350
    @tonnyogaa83508 жыл бұрын

    continue with the good work

  • @quincunx.
    @quincunx.6 жыл бұрын

    Very simple to understand.

  • @rubyround7634
    @rubyround76347 жыл бұрын

    Thank you sir! Very educational and simple to understand :) I would say it is best method to finding the inverse of martrix (at least it is best for me). And you taught it very well! :)

  • @kajalnagpal3924
    @kajalnagpal39247 жыл бұрын

    it is really gud to learn

  • @felixkennedy7770
    @felixkennedy77705 жыл бұрын

    hey which methods can i use for finding a determinant of 5*5 matrix pliz.thanx.

  • @amanyaandrew4599

    @amanyaandrew4599

    4 жыл бұрын

    Do it as 3 x 3

  • @devendrarwt1832
    @devendrarwt18323 жыл бұрын

    Thanku so much sir.. it's harder than it looks💬

  • @Melvs_Cuts
    @Melvs_Cuts6 жыл бұрын

    You're a superstar

  • @enashameed471
    @enashameed4713 жыл бұрын

    ❤جزاك الله خيرا thanks

  • @shafigilanizadeh7726
    @shafigilanizadeh77265 жыл бұрын

    Great explanation

  • @aurelfrancis
    @aurelfrancis8 жыл бұрын

    best vid ever

  • @mr.perfect289
    @mr.perfect2896 жыл бұрын

    Please explain me @ 7:32 when you did 2R2+R3 then you should apply this on newly formed matrics i.e. 1 | 0 | 1 0 | 1 | 0 But you applied on 2 | 0 | 2 0 | 2 | 0

  • @romanemul1

    @romanemul1

    5 жыл бұрын

    every step he made was ok. All operations become from a previous matrix.

  • @clarasantos2886
    @clarasantos28862 жыл бұрын

    Can someone tell me what can be the reason why when I try to check if the result is indeed the inverse matrix it always doesn’t work. What can I be doing wrong

  • @ylvaeriksson5761
    @ylvaeriksson57616 жыл бұрын

    Thanks a lot! Trying to keep up with my math, several years later...

  • @ioannaathineos5269

    @ioannaathineos5269

    4 жыл бұрын

    Good luck. Take a pick at my ytube channel it may be interesting or helpful to you. Thanks

  • @hosseinheli7155
    @hosseinheli71554 жыл бұрын

    that actually was really cool

  • @hetavpandya2963
    @hetavpandya29633 жыл бұрын

    6:35 "I just faked you out!" Sign of Best Math teacher.

  • @hanishanif7317
    @hanishanif73172 жыл бұрын

    thank you sir for the knowledge it very helpful

  • @ighosilva5589
    @ighosilva55899 жыл бұрын

    very, good explained sir...........

  • @siddharthkashyap1679
    @siddharthkashyap16799 жыл бұрын

    Thanks a TON!! :)

  • @ameenafsal5789
    @ameenafsal57897 жыл бұрын

    thank you sir thank you sir thank you soooooo much

  • @Mohamad32010171
    @Mohamad320101719 жыл бұрын

    Thank you very much sir, you r a life saver :)..

  • @sutehsangunasegaran1005
    @sutehsangunasegaran10055 жыл бұрын

    I wish youtube could make a love button to some of the videos

  • @jayyylee710
    @jayyylee7107 жыл бұрын

    thank you!!!!

  • @crthebestone9248
    @crthebestone92486 жыл бұрын

    You are the best sir

  • @kookane1495
    @kookane14954 жыл бұрын

    thanks for teaching me

  • @obadaali3686
    @obadaali36869 жыл бұрын

    Thank you very much

  • @nurulaini1124
    @nurulaini11245 жыл бұрын

    Thankss sirr~finally i understand itt

  • @Tengizxan
    @Tengizxan7 жыл бұрын

    Sir I have a difficulty understanding this video. If the row operations are swap, scale and pivot why didnt you use swap operation at first. Also If I multiply Row2 by 2 and add it to row 1 should row 1 change. But Row1 is kept same until 5:0. Hope you can help

  • @hasnatahmad6164

    @hasnatahmad6164

    6 жыл бұрын

    yes this is not the case the operations should be reversed

  • @wardaali1189

    @wardaali1189

    6 жыл бұрын

    Yep

  • @laughter_d4ily
    @laughter_d4ily Жыл бұрын

    it was helpful thx ❤

  • @Blendswell
    @Blendswell5 жыл бұрын

    This is good example because it's a little long. Great.

  • @MrWar841
    @MrWar8417 жыл бұрын

    Thanks a lot sir.

  • @sathiraful
    @sathiraful6 жыл бұрын

    It's cool thank you sir

  • @mwesigwaeria9880
    @mwesigwaeria98809 ай бұрын

    i like it, its super wow thanks

  • @aBlindMoron
    @aBlindMoron7 жыл бұрын

    This is umbral calculus-tier wizardry

  • @moissiow4489
    @moissiow44899 жыл бұрын

    For the last step, what if we take R3 - R1. Will answer be different?

  • @lorenzflores5056

    @lorenzflores5056

    6 жыл бұрын

    Mois Siow R3-R1 would disrupt the identity matrix we are trying to create which has the first row of 1 0 0. R3-R1 would give us -1 0 1

  • @davidthaler7018
    @davidthaler70184 жыл бұрын

    Another way to start: create the augmented matrix, and then switch rows 1 and 3. Now you have a 1 in the upper left corner without any row operations.

  • @soniavirgule6953
    @soniavirgule69533 жыл бұрын

    King of algebra

  • @silentlessons4221
    @silentlessons4221 Жыл бұрын

    so simple to understand

  • @francisroisantos4644
    @francisroisantos46448 жыл бұрын

    how about the inverse of 5x5 matrix?

  • @yagizyalcintasalumni3273

    @yagizyalcintasalumni3273

    5 жыл бұрын

    same.. the title is nxn matrices so this should give you some idea.. but the real question is: how about 100x100 matrices?? oh wait..

  • @sidieltravels9508

    @sidieltravels9508

    4 жыл бұрын

    @@yagizyalcintasalumni3273 LOL

  • @Mustafa-cp8wc
    @Mustafa-cp8wc5 жыл бұрын

    Bless you

  • @usama57926
    @usama579265 жыл бұрын

    thank u sir

  • @zackseymour97
    @zackseymour976 жыл бұрын

    What even is his shirt tie combo

  • @vigneshp9994
    @vigneshp99947 жыл бұрын

    But sir, when you're changing a particular row or column, that particular row or column shouldn't be having any coefficients..just curious..

  • @vigneshp9994

    @vigneshp9994

    7 жыл бұрын

    for example while changing r2, 2R2+R1 isn't allowed?

  • @stupidsl9824

    @stupidsl9824

    5 жыл бұрын

    @@vigneshp9994 yup

  • @theartofart1812
    @theartofart18122 жыл бұрын

    Idk if I'll pass because the tests are always so different than the coursework, which is why I hate math, but I very much enjoy this man's videos - very good

  • @Omer1996E.C

    @Omer1996E.C

    2 жыл бұрын

    Have you passed? Or is it later?

  • @thompsonrobert5081
    @thompsonrobert50816 жыл бұрын

    nice

  • @enthusiasticsimple901
    @enthusiasticsimple9012 жыл бұрын

    Raise your hand if you are watching this legendary video in 2022🙌

  • @fevenmasresha3491
    @fevenmasresha3491 Жыл бұрын

    Thank u😘

  • @yuhaoliao3270
    @yuhaoliao32704 жыл бұрын

    Perfact!

  • @joeywest575
    @joeywest5756 жыл бұрын

    Thanks pal

  • @madhavavarmadanduprolu4898
    @madhavavarmadanduprolu48985 жыл бұрын

    Thank u

  • @jordancochrane3895
    @jordancochrane38959 жыл бұрын

    good but i do believe it is better to find the leading ones straight away and just deal with the fractions just how we are taught, and i would imagine most others

  • @user-pu4un4yq7f
    @user-pu4un4yq7f7 жыл бұрын

    thank u

  • @that_benji
    @that_benji8 жыл бұрын

    Holy @#%& That's actually pretty cool

  • @romanemul1
    @romanemul15 жыл бұрын

    But why do we need inverses ?