Inverse of a 3x3 Matrix | Co-factor Method

#matrix #inverse #3x3
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How to find Inverse of a 3x3 Matrix | Co-factor Method
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

[@siddharthrao5396]

2024 attendence like this comment

[@iqinitiative]

👍

[@susannegangata4146]

Thank you but i think you made a mistake on the second row and second column digit it should be 16 not -8 because we said -4 x -3 = 12 then 2 x -2 which is -4 12--4 = 15... and the other one 2nd row 3rd column answer shld be 28

[@user-vk2vh8rt4j]

The second statement is wrong

[@mikekabamba-tt9pg]

It's true you're the one who missed the concept

[@usmanjamilu9117]

He is right the teacher made alot of mistake

[@rashidissa5887]

I have revisited the sum. I agree with you, but once again I beg we forgive the tutor.

[@rashidissa5887]

​@@usmanjamilu9117Not a lot. Me, I confirm only 2, and both in row 2 columns 2&3

[@user-dm7pm8rv4r]

Thank you for the well explained work

[@MILFORDMEYAMAHNAIK]

It's really helpful need more on this type of solutions.

[@angelakaureaa1341]

I didn't attend some of my matrix classes but when i watch this tutorials it really helps me alot.
Much appreciated thanks 👍

[@iqinitiative]

You're very welcome!

[@LearnAndGrowOnline]

Watch my matrices video on Learn and grow ua-cam.com/video/VLaG4a0-Afo/v-deo.html

[@user-qc9uw9zj2d]

Great video! I think you made one mistake at 9:23 though, where you get -8 it should be +16: (12- (-4)), and where you get 4 you should get +28: -(-16 -12).

[@iqinitiative]

Yes I've seen the mistake. Thank you for the correction 👍

[@legitcolloh]

​@@iqinitiative also at 9:10 you made a mistake it should be
(12-(-4))
(12 + 4)
=16

[@faithmumo6849]

I had already asked the same 😲,,sikua nimeona hii thanks

[@legitcolloh]

@@faithmumo6849 hizo negatives na positives hukuwa tricky sana 😂

[@rashidissa5887]

They are tricky. I forgive the tutor. Erring is human. To me, he has done good. I have understood every thing

[@MuhawenimanaBeatrice-iu4lo]

Thank sir

[@user-pf3py6kx8m]

❤❤❤❤thanks so much have understood all the steps ❤❤❤😊😊God bless you❤

[@iqinitiative]

Glad it helped. You're most welcome 😊

[@aminayunusah7163]

ei u understood with all those mistakes 😅

[@TaofeekAbdulazeez]

Wow! This was really helpful
I also like this approach than the other identity method

[@iqinitiative]

I'm glad it was helpful 😊

[@tafaralynolmadhosi8656]

Thank you

[@iqinitiative]

You're welcome

[@tafaralynolmadhosi8656]

Thank you sir

[@iqinitiative]

You're welcome 😊

[@BirdmanOsei]

The mistake started from the signs that he wrote in red,the last 1 shld be all positive 😅

[@AlumbweChibangula-ob9gv]

I wasn't understanding this topic but after watching your video sir, I can solve it without any problem.

[@iqinitiative]

I'm glad it was helpful 😊

[@sharmfernando3040]

Thank you!

[@iqinitiative]

You're welcome!

[@user-su3em4hh1n]

Good job done.But there was a mistake

[@RevanZ41]

Thank you so much sir.

[@iqinitiative]

Most welcome

[@mosesbutorire8048]

second raw second column -4*-3 - (-2*2)=16

[@user-kt7qy8po6n]

Yeah Bro you are correct i also had a same issue then i crosscheck my answer its 16 only

[@caysiustomagau]

We all make mistakes.. But the idea is very clear and halpfull. Thanks a lot for the video ❤

[@iqinitiative]

Glad it was helpful!

[@77vik]

Thank you so much for the help man

[@iqinitiative]

No problem 👍

[@onesmuspandu771]

🤩🤩🤩🤩

[@iqinitiative]

👍

[@SnrKale]

Thanks

[@iqinitiative]

No problem

[@ttheimmanuella]

Thanks so much. I really learnt a lot

[@iqinitiative]

Glad it was helpful!

[@MartinSidada-om5hp]

👍

[@luna_man]

awsome video... love it ❤
9:14 it will 16 insted of -8 but no problem we all are humans and humans do mistaked. but over all video is great 😊

[@iqinitiative]

Yes, you are right. Thank you.

[@anamlicha143]

second row third column also has error

[@prescillamashaba]

it really helps me but i think theres error at the second column second row

[@user-rf8iq3tk8n]

I have liked the lesson

[@iqinitiative]

Glad you did 👍

[@ibrahimidris433]

Thanks for the steps but there is a little mistake you got -8 instead of 16 and still got 4 instead of +28

[@ananduss840]

Ya.❤

[@iqinitiative]

Yes. Thanks.

[@sadiekhan8631]

Yes

[@MatipaEdward]

Am just behind with how to transponse

[@akoterryeyong8259]

Thank you so much sîr 🙏🙏💎✨

[@iqinitiative]

You're most welcome

[@user-xz8yq2rm2l]

❤

[@iqinitiative]

💙

[@ChaChaK-hy3lu]

Thanks fir the solution but why did 3*-2 turn into a positive 6😢

[@RinoshaNaushad]

Superb explanation sir thanks a lot

[@iqinitiative]

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

[@josephtagg9263]

Thank you very much. This helped out a lot!

[@iqinitiative]

You're welcome!

[@HUSS_BOSS]

9:07 correction, here its not -12 but 12 since -3*-4 = 12, leading to the result of 16 not -8

[@iqinitiative]

Yes. Thanks

[@KyeyuneSudais-ou4ml]

Where did you get that det of 18 please Sir

[@Byteme7]

See in 3:44

[@AbethKaulga]

He's right check yours

[@daviskipchirchir1357]

There is a slight mistake where you get 4 instead of 28

[@iqinitiative]

Yes duly noted. Thank you.

[@veselinstoychev791]

2:32 Is this negative 2 or positive 2 ? thanks

[@iqinitiative]

(-2)(-1)=2

[@russellpetrus122]

so -12+4 is equals to -8 or 16.. please come through guys

[@iqinitiative]

It was a slight mistake in solving. Kindly correct it.

[@AbethKaulga]

Big ting is the concept, thanks for you correction

[@btsforlife8856]

Sir your explanation was soo good, though there was a mistake. Thank you sir😊

[@iqinitiative]

Sorry for that. It has been noted.

[@btsforlife8856]

No need to be sorry Sir 😊

[@iqinitiative]

👍 😊

[@soremekunadesola1566]

This is helpful

[@iqinitiative]

I'm glad it was 😊

[@Abdullah_gujjar]

thanks sir

[@iqinitiative]

Most welcome

[@lamminhial9966]

The determinate is wrong, it's supposed to be 38 instead of 18

[@davethetrader10]

Thank you Sir…Row 2 column 3 should be -28 Sir…I think you made a mistake there

[@LusandaThabethe]

and also row 2 column 2 should be 16

[@---lw1mr]

Positive 28

[@anilgupta4801]

M22 will be 16 instead of -8

[@iqinitiative]

Yes. I've seen the mistake. Thank you for the correction.

[@genatto]

Thanks you so much. and bro there a mistake 9:15 (-4x-3)-(2x-2)=16

[@iqinitiative]

Yes, you are right

[@simplevideoskannada6825]

Thank you sir🎉

[@iqinitiative]

Most welcome

[@faithmumo6849]

I have a question sir,,why is it not+4 yet it is+-+

[@erraticcontent4312]

+ means to keep the sign as it is and the - means to change the sign , hope this makes sense

[@user-uk1mz1wp8w]

What if the determinant is 0
How do we get the inverse

[@dorcasedoh]

What I know is if the determinant is 0, then the matrix given does not have an inverse

[@iqinitiative]

A matrix with zero determinant is called a Singular matrix and it's inverse cannot be obtained.

[@nelsonwanyonyi1907]

For cofactor for element -1 is -4x-3 not 3

[@iqinitiative]

👍

[@anamikakumari1786]

Yrr Q galat solve kiya hua hai
Process shi hai 👍

[@iqinitiative]

👍

[@user-qf7cl6zc7t]

Thanks sir but you missed some of -+-

[@iqinitiative]

Yes

[@fadhili9050]

umefanya nika question calculator yangu😢😢

[@iqinitiative]

???

[@techhassan1964]

9:17 the is 16 not negative 8

[@shivam4870]

Yeah my bro that is 16 😢 I think I made mistake and sitting in depression for an hour then I read comments he made mistake 😢

[@dilawar7601]

Please apni voice Ka level 90 kary 30 say bahir Ajay

[@BenjaminAkraba]

Please what about cofactors of 4x4 matrix all your videos are 3x3 please provide 4x4

[@iqinitiative]

Sure thing.

[@yinhlewendy7086]

Thank you,10 minutes before my test

[@iqinitiative]

You're welcome. Wishing you the best 👍

[@ayanrosey8597]

Is this a kenyan

[@iqinitiative]

Zambian

[@SHIVA.......TECH....TELUGU]

I have idea thise questions....

[@iqinitiative]

Okay 👍

[@Zanda_from_Zim23]

Thank you sir

[@LearnAndGrowOnline]

ua-cam.com/video/VLaG4a0-Afo/v-deo.html

[@iqinitiative]

So nice of you