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

#matrix #inverse #3x3
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Determinant of a 3x3 Matrix: • Determinant of a 3x3 M...
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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: kzbin.info/www/bejne/oIG8pWpsf9iqaZYsi=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!

[@MenkaEphraimMensah-lm1nn]

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

[@mhmmdsaralov]

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

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[@layanbarakat8385]

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[@NokulungaMacu-uq8qu]

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

[@iqinitiative]

You're welcome

[@Birol731]

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

[@iqinitiative]

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[@wegohigh6804]

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[@iqinitiative]

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

[@AlmaElma-qz4ok]

Wow amazing the explanation was all I needed to understand perfectly

[@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]

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[@monicakimani-my7wu]

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[@iqinitiative]

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[@mangobuttercookies]

mind = blown truly a work of art

[@CR-ri9gq]

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Very easy to understand

[@iqinitiative]

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[@Silva_da_premier]

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[@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]

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[@chistar5988]

wonderful lesson, thanks alot

[@iqinitiative]

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Thanks so much, my exam is less than 8 hours now

[@user-yv3nm9do9x]

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[@iqinitiative]

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[@iqinitiative]

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[@sensenlu1111]

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[@iqinitiative]

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[@ModestusHaundapiti]

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[@user-el3yq3qv2w]

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[@iqinitiative]

Any time 👍

[@toluoyelola1101]

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[@iqinitiative]

Glad it was helpful 😊

[@bolajinusirat479]

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[@iqinitiative]

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[@TraderSanjay-hr7cp]

Next level explain sir ❤❤❤

[@iqinitiative]

I'm glad it was helpful 😊

[@fredrick2036]

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

[@iqinitiative]

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

[@franklinekipkemei5842]

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[@iqinitiative]

Glad it was helpful 😊

[@user-sl2wd8ts3g]

Fantastic

[@iqinitiative]

👍

[@NatashaNanyinza-eo1jc]

Thank you so much

[@iqinitiative]

You're most welcome

[@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

[@Mindset.mastery31]

thank you LOT MY FRIEND

[@iqinitiative]

You are so welcome!

[@Manmathchinchkar]

Your good at this bro keep going 🗿

[@iqinitiative]

Thank you very much. Cheers 👍

[@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]

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[@user-cw1et9pu3k]

had trouble with that but now its at my fingertips thanks

[@iqinitiative]

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[@esnart9789]

Very helpful 👌

[@iqinitiative]

I'm glad it was helpful 😊

[@hitechinstituteoftechnology]

Thank you

[@iqinitiative]

You're welcome 😊

[@TatendaMazhawidza]

awesome

[@iqinitiative]

👍

[@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]

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[@olofujustina5340]

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[@iqinitiative]

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[@bhawana_.14]

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[@iqinitiative]

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[@ivanfurst4969]

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[@iqinitiative]

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[@iqinitiative]

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[@iqinitiative]

Glad to hear that. You're welcome 😊

[@andrewnpeacechannel257]

Super correct.

[@iqinitiative]

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[@user-kg7xw5ip2l]

Wrong

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[@iqinitiative]

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[@iqinitiative]

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thank you bro

[@iqinitiative]

You're welcome!

[@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

[@ThomasKalutwa]

Powerful

[@iqinitiative]

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[@Suraj_Singh_30]

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[@iqinitiative]

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[@iqinitiative]

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[@iqinitiative]

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[@MrSpeedy_]

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[@iqinitiative]

Any time

[@angellakachingwe3307]

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

[@ibrahimdavid8597]

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[@iqinitiative]

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[@user-qs2io7zb4y]

THANKS

[@iqinitiative]

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[@b.m.z.3386]

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

[@iqinitiative]

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[@iqinitiative]

Thanks

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you inspire me to do better

[@iqinitiative]

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[@iqinitiative]

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[@octane2515]

Thanks alot man 🫡💓.

[@iqinitiative]

You're welcome 😊

[@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.

[@thabomohlala2]

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

[@iqinitiative]

You're welcome. Glad it was helpful.

[@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 🎯

[@ssekiddevicentubs6482]

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

[@user-kg7xw5ip2l]

Sir kindly check the determinant , the determinant it is supposed to be -66 not that

[@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

[@musicphysics-mathematicsfu1840]

The only minus is that you did not demonstrate how you got 30 as your determinant...a review is hence suggested because some students are still.strugling with finding 3x3 determinants . Thank you

[@iqinitiative]

Noted with thanks. I've just added a video link in the comments that shows how to find determinant.

[@melvinmwangi357]

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

[@iqinitiative]

Sure, will do.

[@user-fn7ht7gr7r]

A buch of thanks

[@iqinitiative]

Welcome 😊

[@edwardbudodi4497]

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

[@iqinitiative]

Thank you very much.

[@iqinitiative]

LIMITS & CONTINUITY: kzbin.info/aero/PLDmIzLLlFxI1cyAP7_D2GND_YIseLPE19

[@christianmwansa440]

👏👏

[@omarbacuilima53]

the best

[@iqinitiative]

Thanks 😊 glad it was helpful

[@jensenbelen-brown1559]

thank you, you saved me from failing ly

[@iqinitiative]

You're welcome. All the best.

[@motheoshangawt]

perfect

[@iqinitiative]

👍

[@migizz254]

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

[@iqinitiative]

You're welcome. 😊

[@user-us5pm6bu3d]

Thanks sir help us with circle properties

[@iqinitiative]

No problem

[@ssekiddevicentubs6482]

Thanks for that method of a pen raw by clomn

[@judearthur-qu6fm]

kindly check your computations for the determinant

[@iqinitiative]

It's okay

[@MikeWellingtonZulu-ez6yc]

This is nice more than my lecturers

[@iqinitiative]

I'm glad it was helpful 😊

[@TheresahEssien]

How did you get the 30

[@mrnyongesa293]

🎉🎉🎉🎉🎉party after party

[@DeadpoolTyler2024]

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: kzbin.info/www/bejne/q6HOaIBsqtqAgtE

[@michaelsafwat1953]

fantastic explaination 👏

[@iqinitiative]

Glad you liked it

[@hannyjess7172]

wow,you are the best.God bless you

[@iqinitiative]

Grateful. You're most welcome 😊

[@jericflores1644]

why in your other video you taught that your detA should be 7(-36) -6(40) +3 (14) because + , - , + is the flow in the first row.

[@jericflores1644]

why is the 6 is positive in this video. is there indication?

[@iqinitiative]

Yes it's positive because -(-6) = +6

[@CharlesPicache-iz1wp]

Can I put my final answer in decimal instead of a fraction?

[@iqinitiative]

It's usually advisable to put in fraction form and not decimals.

[@moomalranaa]

Thank u broo 😭❤️🔫

[@iqinitiative]

You're most welcome ☺