Inverse of a 3x3 Matrix - (THE SIMPLE WAY)

#matrix #inverse #3x3
Subscribe to the channel here: / @iqinitiative
Determinant of a 3x3 Matrix: • Determinant of a 3x3 M...
Other matrix videos: • Matrices
Facebook: profile.php?...
Tweeter: IQ_Initiative?t=b...
INVERSE OF A MATRIX
Definition
Let A be any square matrix. If there exists another square matrix B Such that AB = BA = I (I is a unit matrix) then B is called the inverse of the matrix A and is denoted by A-1.
The cofactor method is used to find the inverse of a matrix. Using matrices, the solutions of simultaneous equations are found.
Working Rule to find the inverse of the matrix
Step 1: Find the determinant of the matrix.
Step 2: If the value of the determinant is non zero proceed to find the inverse of the matrix.
Step 3: Find the cofactor of each element and form the cofactor matrix.
Step 4: The transpose of the cofactor matrix is the adjoint matrix.
Step 5: Apply the formula for the inverse

[@iqinitiative]

Determinant of a 3x3 matrix:
ruclips.net/video/jPYt76Jsw34/видео.htmlsi=u2tXxkbMeD-Hqa3L

[@WassupCarlton]

Crispy and concise, bravo my guy! Love that you *physically covered* the elements we want to ignore when finding the intermediate determinants.

[@iqinitiative]

I appreciate it 🙏
I'm glad it was helpful

[@bechdhieu]

Thanks you so much for my adimition

[@georgen9755]

physical cover?
physical education?

[@jasonwang-wg8wu]

nawwww like he actually, physically shrouds the ignored elements so that the only ones we can see are the ones we finna act on in that moment. cuts out the noise/distractions, fill me?@@georgen9755

[@ahmedkhalifii]

thanks a lot. I genuinely appreciate how u made me understand this.

[@iqinitiative]

You're very welcome!

[@Smit0207]

thank you so much,you earned yourselves a loyal subscriber

[@NokulungaMacu-uq8qu]

Thank you so much. I'm going to practice especially for mesh circuits

[@iqinitiative]

You're welcome

[@MenkaEphraimMensah-lm1nn]

Sir I love the way you teach and kudos for that.

[@mhmmdsaralov]

this the best explanation ive ever seen. thanks a billion!

[@layanbarakat8385]

thank you so much man... absolute legend

[@Birol731]

Thank you for the excellent and well-founded explanation; it is truly exceptional 🙏

[@iqinitiative]

You're very welcome!

[@abuyusifu4774]

Thanks 🙏🏾 for letting me understanding it well 👍👍

[@Peter.H___]

You're such a good teacher. Something i struggled with the whole semester summarised in a 15min video. You're a genius!

[@iqinitiative]

I'm glad it was helpful. Best of luck with your exams.

[@eevibessite]

ruclips.net/video/01-v6jFGseQ/видео.html

[@CR-ri9gq]

helpful, thanks!! :))

[@wegohigh6804]

thank you, truly helped me!

[@iqinitiative]

You're welcome. I'm glad it was helpful 😊

[@ryoshii87]

I haven't been able to attend classes during the entire final lessons and I have an exam later. You helped me a lot in understanding it in a very simplistic way. Thank you very much ^^

[@iqinitiative]

Glad I could help! All the best in your exams

[@eevibessite]

ruclips.net/video/01-v6jFGseQ/видео.html

[@fredrick2036]

Thanks. you really helped me in answering Advanced Mathematics =)

[@iqinitiative]

You're welcome. I'm glad it was helpful 😊

[@longlifelearner2005]

Thank you so much sir!!

[@iqinitiative]

@@longlifelearner2005 you're welcome

[@abdullahmutto146]

Very well done thanks alot this is going to be very helpful. But I was wondering can I also use this for bigger or smaller matrix? So for 4x4 I could do
+ - + -
for the first colome to get the det A
and then do:
+ - + -
- + - +
+ - + -
- + - +
to get the Adj * A and then divide Adj*A by the det A like shown in the video or does it just work for 3x3 matrix? Thx!

[@iqinitiative]

I'm glad it was helpful. So yes you'll need to Co-factors the way you've layed it out, it's okay.

[@eevibessite]

ruclips.net/video/SFTeAWMybuE/видео.html

[@ModestusHaundapiti]

Thanks much l gained alot

[@monicakimani-my7wu]

thanks for the video.. clear explanation

[@iqinitiative]

You are welcome! 👍

[@user-yv3nm9do9x]

Thank you 🙏

[@iqinitiative]

You're welcome

[@beast9907]

Thank you this helped me a lot ❤️ like+ sub keep it up man 🔥

[@iqinitiative]

Glad it helped! Grateful for the support 🙏

[@bolajinusirat479]

Thank you very much.

[@iqinitiative]

You're welcome 😊

[@user-rm5ip5zi1x]

Thank you so much

[@iqinitiative]

You're welcome

[@chistar5988]

wonderful lesson, thanks alot

[@iqinitiative]

You're most welcome

[@Manmathchinchkar]

Your good at this bro keep going 🗿

[@iqinitiative]

Thank you very much. Cheers 👍

[@AlmaElma-qz4ok]

Wow amazing the explanation was all I needed to understand perfectly

[@iqinitiative]

Glad it helped!

[@user-cw1et9pu3k]

had trouble with that but now its at my fingertips thanks

[@iqinitiative]

You're most welcome

[@charitychisakila]

on the first step how do assign the + and - to the figures

[@user-el3yq3qv2w]

Thanks for good lesson

[@iqinitiative]

Any time 👍

[@toluoyelola1101]

this was an amzing explanation

[@iqinitiative]

Glad it was helpful 😊

[@Mindset.mastery31]

thank you LOT MY FRIEND

[@iqinitiative]

You are so welcome!

[@user-zj7ov2uj5v]

This has genuinely helped me 😊..thanks

[@iqinitiative]

I'm glad it was helpful 😊

[@vincentonyango3713]

Definately the best way of explaining. Thanks alot

[@iqinitiative]

You are most welcome

[@hitechinstituteoftechnology]

Thank you

[@iqinitiative]

You're welcome 😊

[@EmmanuelIsaiah-lo3hc]

You're amazing man

[@iqinitiative]

Thank you 😊

[@user-sl2wd8ts3g]

Fantastic

[@iqinitiative]

👍

[@ivanfurst4969]

Wow, so good, this is gonan save me so much time thank you

[@iqinitiative]

Glad it helped!

[@angellakachingwe3307]

Thanks so much on this matrix I Oz blank now am better off

[@octane2515]

Thanks alot man 🫡💓.

[@iqinitiative]

You're welcome 😊

[@justinadaniel4293]

Wow.... really simplified.
So helpful

[@iqinitiative]

Glad it was helpful!

[@sensenlu1111]

good video to watch

[@iqinitiative]

Glad you enjoyed it

[@clownphabetstrongwoman7305]

I really appreciate this. Very methodical and clear. Yesterday I looked into matrices and made the formula for a 3x3 one. It was easy, although very tedious, and at the end I got stuff like this which is very confusing to apply. Let's say matrix
|a b c|
|d e f|
|g h i|
And the inverse would have in the place of a this:
(ei-fh)/(aei-afh+bfg-bdi+cdf-ceg). Very sluggish and confusing.
The whole thing is
|(ei-fh) (ch-bi) (bf-ce)|
|(fg-di) (ai-cg) (cd-af)|
|(dh-eg) (bg-ah) (ae-bd)|
With that long determinant as a fraction.

[@iqinitiative]

I'm glad you found this helpful. Best of luck 👍

[@eevibessite]

ruclips.net/video/SFTeAWMybuE/видео.html

[@melvinmwangi357]

Thanks alot....You really helped me..kindly make a video for logic in math

[@iqinitiative]

Sure, will do.

[@mangobuttercookies]

mind = blown
truly a work of art

[@iqinitiative]

😊🙏

[@diamondoinam621]

thank you bro

[@iqinitiative]

You're welcome!

[@viiarrr]

Thank you so so much u really helped me

[@iqinitiative]

Glad I could help!

[@esnart9789]

Very helpful 👌

[@iqinitiative]

I'm glad it was helpful 😊

[@NgwaCatherine-xz1hn]

Thanks 👍

[@iqinitiative]

No problem 👍

[@ThomasKalutwa]

Powerful

[@iqinitiative]

Glad you liked it

[@Ohzzy90]

Thanks brotherly ❤

[@iqinitiative]

You're welcome 😊

[@ssekiddevicentubs6482]

How do u get -6,3-5and-4

[@franklinekipkemei5842]

Go higher sir,yôu are amazing

[@iqinitiative]

Glad it was helpful 😊

[@emmanuelnguyo4693]

thanks indeed sir very well elaborated

[@iqinitiative]

You are most welcome

[@endrielezi7489]

Thanks❤

[@iqinitiative]

You're welcome 😊

[@manofvision1]

Thanks so much sir

[@iqinitiative]

You're welcome 😊

[@JAMES-qu2co]

thanks alot bravo

[@iqinitiative]

You're welcome 😊

[@tapiwasanyagura4763]

Thank you such helping

[@iqinitiative]

You're welcome 😊

[@dragon-w6k7u]

thank you

[@iqinitiative]

You're welcome

[@bongajewelmsimang5337]

fantastic video so with the inverse is there a way to determine x,y,z?

[@iqinitiative]

Yes, with the inverse you can apply:
X = A‐¹ • B

[@monalisalampiao6917]

this really saved me thank you

[@iqinitiative]

You're welcome!

[@Sesseboy-ex1vo]

It was very helpful to me thank you very much

[@iqinitiative]

Glad it was helpful 😊

[@bhawana_.14]

thank you for your wonderful explanation 😍😍😇

[@iqinitiative]

Glad it was helpful!

[@Rajawat_Study_Centre]

Too much helpful

[@iqinitiative]

I'm glad it was helpful 😊

[@martingitonga6228]

Thanks ❤❤

[@iqinitiative]

You're welcome

[@AlbanaHoxha-ki2xv]

Thank you for this video! Is there a rule as to how you assign the signs at 6:45 ?

[@iqinitiative]

You're welcome. Basically just consider negatives in those positions at all times.

[@WassupCarlton]

odd-number rows: plus, minus, plus, minus, plus, minus...
even-number rows: minus, plus, minus, plus, minus, plus...

[@iqinitiative]

Yes 🎯

[@TraderSanjay-hr7cp]

Next level explain sir ❤❤❤

[@iqinitiative]

I'm glad it was helpful 😊

[@user-fd3dq3pe2l]

This genuinely helped me thnks sir❤❤❤❤❤❤

[@iqinitiative]

Glad to hear that. You're welcome 😊

[@TemesgenSisay-tn9ue]

VERY VER MUCH BRO I FROM ETHIOPIAN BUT I HEARTELY APPRCIET YOUR WORK SO MUCH WELL DONE CONTINUE

[@Chivende]

He's great,he just saved my life

[@SolidRockTvKenya]

How you do matrix 3*3

[@thabomohlala2]

Thanks for the tutorial, I will never fail matrix calculation.

[@iqinitiative]

You're welcome. Glad it was helpful.

[@jcjoao]

nice

[@iqinitiative]

Cheers 👍

[@danieljoh6513]

you inspire me to do better

[@iqinitiative]

That's the spirit. All the best 💪

[@proferogelioo]

MInute 1:04, just asking, did you miss the coefficient "6" before writting the operation?

[@Foruni-hw6uz]

Yes he did but he wrote it down later on.

[@user-qs2io7zb4y]

THANKS

[@iqinitiative]

You're welcome 😊

[@chipegonyumbu7677]

Thanks

[@iqinitiative]

You're welcome 😊

[@ibrahimdavid8597]

Thank you..
You look simple.

[@iqinitiative]

Glad it helped

[@antoniojep936]

Thanksss😊😊

[@iqinitiative]

No problem 😊

[@Its.Speedy_]

thanks bro

[@iqinitiative]

Any time

[@andrewnpeacechannel257]

Super correct.

[@iqinitiative]

👍

[@user-kg7xw5ip2l]

Wrong

[@olofujustina5340]

Good job Sir

[@iqinitiative]

So nice of you

[@user-fn7ht7gr7r]

A buch of thanks

[@iqinitiative]

Welcome 😊

[@user-fq7kn7tm6g]

Very good video,❤from🇨🇳

[@iqinitiative]

Thanks 😊

[@TatendaMazhawidza]

awesome

[@iqinitiative]

👍

[@karimmoubayed330]

i think using the identity matrix is easier [ A | I ] where once you row reduce the matrix A to its identity matrix with respect to the identity matrix, the identy matrix becomes the inverse of matrix A. A~I, I~A^-1

[@TheresahEssien]

How did you get the 30

[@ssekiddevicentubs6482]

Thanks for that method of a pen raw by clomn

[@MirriamMonde]

👏👏🙏

[@edwardbudodi4497]

Goood lesson sir appreciation
i need a lesson of continuity function because you teach good

[@iqinitiative]

Thank you very much.

[@iqinitiative]

LIMITS & CONTINUITY: ruclips.net/p/PLDmIzLLlFxI1cyAP7_D2GND_YIseLPE19

[@simonrestrepo3231]

Steps(For reference):
1. Find determinant of matrix A -> detA
2. Find the matrix of co-factors (tip: the first row was partiality fond when getting the detA)
3. Set the right sings of the matrix of cofactors. Alternatating
| + - + |
| - + - |
| + - + |
4. Transpose the matrix to find the adjoint matrix Aadj
5. Ainverse = 1/det * Aadj

[@ElisaMensah]

Very easy to understand

[@iqinitiative]

Glad to hear that

[@AliceNabirye-p8n]

🎉why do you put the positives and negatives at the top of every column

[@iqinitiative]

That's the procedure

[@murungimary7]

Let me ask, there was negative six but you wrote postive,how come

[@iqinitiative]

-(-6) = 6

[@murungimary7]

I have understood

[@iqinitiative]

Alright 👍

[@CollinsGodwin-kw5jn]

u gad it

[@alexpepe19]

​@@murungimary7cute

[@MikeWellingtonZulu-ez6yc]

This is nice more than my lecturers

[@iqinitiative]

I'm glad it was helpful 😊

[@migizz254]

I don't have much to say... just saying thankyou very much 😇😌

[@iqinitiative]

You're welcome. 😊

[@Yuna-qp7wm]

thx

[@iqinitiative]

Welcome

[@judeoludunmade837]

how come when I multiply the inverse matrix with the original it doesn't give the identity matrix

[@holysauce4982]

Because it's -(-6), when finding determinants the first one is + then second is - and third is +
It's written on top

[@iqinitiative]

Yes

[@TylerClarke216]

Im confused on how you found the D(Determent) and the rest but I know the inverse would be the 3 numbers on the bottom 3rd row as the answer

[@iqinitiative]

Here's an alternative method for finding the determinant: ruclips.net/video/upk7M6uuMLo/видео.html

[@user-us5pm6bu3d]

Thanks sir help us with circle properties

[@iqinitiative]

No problem

[@jensenbelen-brown1559]

thank you, you saved me from failing
ly

[@iqinitiative]

You're welcome. All the best.

[@b.m.z.3386]

All the best to author, so appreciate this video!!!!!

[@iqinitiative]

Thanks. most welcome

[@iqinitiative]

Thanks

[@motheoshangawt]

perfect

[@iqinitiative]

👍