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

[@DsiakMondala]

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.

[@sebastian7494]

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]

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

[@heyfam1341]

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

[@BarnezGFX]

I subbed after he did this haha

[@yousifhazem2999]

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

[@jamessimungala7132]

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

[@davidthaler7018]

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.

[@christaylor8142]

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

[@Mugen_YG]

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

[@reengaesh7545]

lol EXACTLY 😞

[@aku7598]

Use app to check

[@AviciaBT]

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

[@maruf7956]

Its harder than it looks

[@pierrefabela]

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

[@tyronefrielinghaus3467]

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...

[@Reivivus]

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]

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

[@donlansdonlans3363]

Theres no guessing, its an algorithm

[@mayharmon6948]

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.

[@MrDoekoe]

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

[@ThinkwellVids]

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

[@ghufranranjha9700]

a very good methodolgy of teaching

[@joelsmith7078]

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

[@TT-hs2jx]

Thank you for making this much easier to learn

[@JugglerRK]

excellent video. Love the typed out visuals

[@iluvGodnUSA]

You are the best. Ever.

[@ShamsThoughts]

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

[@chriscc14]

same lol

[@HungTran-mn2nf]

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

[@ylvaeriksson5761]

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

[@ioannaathineos5269]

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

[@ishitahumnabadkar7855]

Omg thankyou so much this cleared my concept entirely

[@zibusisonkiwane9506]

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

[@anjanbhattacharjeesir]

Excellent explanation

[@SalemKorayem]

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

[@franksichula1869]

Is it not a mandate to turn 2 in the first row to 1?

[@theartofart1812]

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]

Have you passed? Or is it later?

[@newtonocharimenyenya2458]

A very Great piece.

[@quincunx.]

Very simple to understand.

[@soniavirgule6953]

King of algebra

[@jackgill6519]

Awesome video, great tutorial for a somewhat lengthy operation😃

[@AmanUllah-qq8wt]

you are awesome sir, thank you

[@sutehsangunasegaran1005]

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

[@usmankamal2341]

Excellent lecture sir. Much appreciated

[@hetavpandya2963]

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

[@ahmedmahay]

Loved the tutorial...well done!

[@nooberhour2592]

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 ).

[@devendrarwt1832]

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

[@babypig1220]

It really clear and helpful~ Thanks lots sir~

[@davidthaler7018]

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.

[@tuannguyen-nh4vv]

Thanks for your tutorial

[@romanemul1]

But why do we need inverses ?

[@crthebestone9248]

You are the best sir

[@abubacker1167]

Man, you are brilliant

[@viktorolsson5927]

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]

Viktor Olsson so nice

[@mr.perfect289]

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]

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

[@Tengizxan]

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]

yes this is not the case the operations should be reversed

[@wardaali1189]

Yep

[@francisroisantos4644]

how about the inverse of 5x5 matrix?

[@yagizyalcintasalumni3273]

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]

@@yagizyalcintasalumni3273 LOL

[@enthusiasticsimple901]

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

[@clarasantos2886]

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

[@silentlessons4221]

so simple to understand

[@felixkennedy7770]

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

[@amanyaandrew4599]

Do it as 3 x 3

[@hanishanif7317]

thank you sir for the knowledge it very helpful

[@Blendswell]

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

[@cuentafake140]

Can you do the same with columns?

[@vigneshp9994]

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]

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

[@stupidsl9824]

@@vigneshp9994 yup

[@shafigilanizadeh7726]

Great explanation

[@aizelbulay1807]

Thanks for this🤍

[@aBlindMoron]

This is umbral calculus-tier wizardry

[@jordancochrane3895]

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

[@Melvs_Cuts]

You're a superstar

[@katamveerarohith3300]

thanks this is really helpful

[@summygofrsya612]

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

[@tonnyogaa8350]

continue with the good work

[@kajalnagpal3924]

it is really gud to learn

[@sumanrefractory6345]

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

[@enashameed471]

❤جزاك الله خيرا thanks

[@topiado2073]

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

[@nkcubekomayephu5477]

Thank you very much Sir. That was very helpful.

[@ighosilva5589]

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

[@mavrix2356]

Why this doesn't work

[@hosseinheli7155]

that actually was really cool

[@kookane1495]

thanks for teaching me

[@ameenafsal5789]

thank you sir thank you sir thank you soooooo much

[@omarelk194]

I don't understand what you did. Could you please explain it to me as if I were a small child.

[@timwong2396]

+Omar Elkoton i think it used the "A A^(-1) = I " remember how to find Ax=b ? just doing the "RREF" [A |b ] you can find the solution of x SO same as the above method,you can find the solution of A^(-1)

[@hirak214]

Thanks a lot, it helped!

[@TheOnlineStudents]

If anybody needs additional exercises or explaining, i just made a video about this! ^^ goodluck!

[@aurelfrancis]

best vid ever

[@spensh1]

makes perfect sense, but there are so many places to mess up the algebra.

[@Shafranlive]

well explained really cool thanks a lot..

[@beautifullwork3263]

It's easy but too much lengthy and i did many mistakes during solve it like sign mistakes and finally its gonna wrong answer in the end😴😴😴😴

[@laughter_d4ily]

it was helpful thx ❤

[@hemo4208]

thank u so so much you're amazing

[@bipashabiswas8278]

Well explained sir. Thank you. :-)

[@moissiow4489]

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

[@lorenzflores5056]

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

[@soniaraj5999]

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

[@yusufit7627]

This is like arranging the Rubik's Cube

[@sathiraful]

It's cool thank you sir

[@obadaali3686]

Thank you very much

[@mwesigwaeria9880]

i like it, its super wow thanks

[@nurulaini1124]

Thankss sirr~finally i understand itt

[@MrWar841]

Thanks a lot sir.

[@santoshchoudhury1014]

How to find inverse of below matrix using Gauss elimination method 0 1. 0 0 0 1 1. 0. 0

[@usama57926]

thank u sir

[@shanbagavalliselvaraj8702]

I want to inverse of 6×6 matrix plzz help me

[@noa29Enib]

take your time and make sure you have a lot of coffee xD

[@banjoleb]

😂😂😂

[@reengaesh7545]

Noa 😂😂😂😂😂👋🏼👏🏾👏🏾👏🏾👏🏾

[@jayyylee710]

thank you!!!!

[@Mohamad32010171]

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

[@gagangaur9545]

splendid explain.......