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Inverse of a 3x3 Matrix | Co-factor Method 

IQ Initiative
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#matrix #inverse #3x3
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Determinant of a 3x3 Matrix: • Determinant of a 3x3 M...
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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

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26 авг 2024

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Комментарии : 138   
@siddharthrao5396
@siddharthrao5396 6 месяцев назад
2024 attendence like this comment
@iqinitiative
@iqinitiative 6 месяцев назад
👍
@susannegangata4146
@susannegangata4146 5 месяцев назад
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
@user-vk2vh8rt4j 4 месяца назад
The second statement is wrong
@mikekabamba-tt9pg
@mikekabamba-tt9pg 4 месяца назад
It's true you're the one who missed the concept
@usmanjamilu9117
@usmanjamilu9117 4 месяца назад
He is right the teacher made alot of mistake
@rashidissa5887
@rashidissa5887 3 месяца назад
I have revisited the sum. I agree with you, but once again I beg we forgive the tutor.
@rashidissa5887
@rashidissa5887 3 месяца назад
​@@usmanjamilu9117Not a lot. Me, I confirm only 2, and both in row 2 columns 2&3
@kerryodjugo5464
@kerryodjugo5464 6 дней назад
Thanks for unveiling the concepts step by step.
@iqinitiative
@iqinitiative 3 дня назад
You are welcome!
@user-qc9uw9zj2d
@user-qc9uw9zj2d Год назад
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
@iqinitiative Год назад
Yes I've seen the mistake. Thank you for the correction 👍
@legitcolloh
@legitcolloh 6 месяцев назад
​@@iqinitiative also at 9:10 you made a mistake it should be (12-(-4)) (12 + 4) =16
@faithmumo6849
@faithmumo6849 6 месяцев назад
I had already asked the same 😲,,sikua nimeona hii thanks
@legitcolloh
@legitcolloh 6 месяцев назад
@@faithmumo6849 hizo negatives na positives hukuwa tricky sana 😂
@rashidissa5887
@rashidissa5887 4 месяца назад
They are tricky. I forgive the tutor. Erring is human. To me, he has done good. I have understood every thing
@angelakaureaa1341
@angelakaureaa1341 5 месяцев назад
I didn't attend some of my matrix classes but when i watch this tutorials it really helps me alot. Much appreciated thanks 👍
@iqinitiative
@iqinitiative 5 месяцев назад
You're very welcome!
@LearnAndGrowOnline
@LearnAndGrowOnline 5 месяцев назад
Watch my matrices video on Learn and grow ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-VLaG4a0-Afo.html
@ShelagoBhunex
@ShelagoBhunex 26 дней назад
2024 im here thanks a lot brotherman
@iqinitiative
@iqinitiative 25 дней назад
You're welcome
@ibrahimidris433
@ibrahimidris433 Год назад
Thanks for the steps but there is a little mistake you got -8 instead of 16 and still got 4 instead of +28
@ananduss840
@ananduss840 Год назад
Ya.❤
@iqinitiative
@iqinitiative Год назад
Yes. Thanks.
@sadiekhan8631
@sadiekhan8631 8 месяцев назад
Yes
@user-su3em4hh1n
@user-su3em4hh1n 5 месяцев назад
Good job done.But there was a mistake
@MILFORDMEYAMAHNAIK
@MILFORDMEYAMAHNAIK 4 месяца назад
It's really helpful need more on this type of solutions.
@iqinitiative
@iqinitiative Месяц назад
Sure
@user-pf3py6kx8m
@user-pf3py6kx8m 8 месяцев назад
❤❤❤❤thanks so much have understood all the steps ❤❤❤😊😊God bless you❤
@iqinitiative
@iqinitiative 8 месяцев назад
Glad it helped. You're most welcome 😊
@aminayunusah7163
@aminayunusah7163 2 месяца назад
ei u understood with all those mistakes 😅
@Butorire
@Butorire 3 месяца назад
second raw second column -4*-3 - (-2*2)=16
@user-kt7qy8po6n
@user-kt7qy8po6n 3 месяца назад
Yeah Bro you are correct i also had a same issue then i crosscheck my answer its 16 only
@BirdmanOsei
@BirdmanOsei 4 месяца назад
The mistake started from the signs that he wrote in red,the last 1 shld be all positive 😅
@ChaChaK-hy3lu
@ChaChaK-hy3lu 3 месяца назад
Thanks fir the solution but why did 3*-2 turn into a positive 6😢
@iqinitiative
@iqinitiative Месяц назад
Mistake
@AlumbweChibangula-ob9gv
@AlumbweChibangula-ob9gv Год назад
I wasn't understanding this topic but after watching your video sir, I can solve it without any problem.
@iqinitiative
@iqinitiative Год назад
I'm glad it was helpful 😊
@caysiustomagau
@caysiustomagau 3 месяца назад
We all make mistakes.. But the idea is very clear and halpfull. Thanks a lot for the video ❤
@iqinitiative
@iqinitiative 2 месяца назад
Glad it was helpful!
@user-dm7pm8rv4r
@user-dm7pm8rv4r 5 месяцев назад
Thank you for the well explained work
@TaofeekAbdulazeez
@TaofeekAbdulazeez Год назад
Wow! This was really helpful I also like this approach than the other identity method
@iqinitiative
@iqinitiative Год назад
I'm glad it was helpful 😊
@prescillamashaba
@prescillamashaba Год назад
it really helps me but i think theres error at the second column second row
@luna_man
@luna_man 2 месяца назад
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
@iqinitiative 2 месяца назад
Yes, you are right. Thank you.
@tafaralynolmadhosi8656
@tafaralynolmadhosi8656 Год назад
Thank you
@iqinitiative
@iqinitiative Год назад
You're welcome
@tafaralynolmadhosi8656
@tafaralynolmadhosi8656 Год назад
Thank you sir
@iqinitiative
@iqinitiative Год назад
You're welcome 😊
@anamlicha143
@anamlicha143 5 месяцев назад
second row third column also has error
@faithmumo6849
@faithmumo6849 6 месяцев назад
I have a question sir,,why is it not+4 yet it is+-+
@erraticcontent4312
@erraticcontent4312 6 месяцев назад
+ means to keep the sign as it is and the - means to change the sign , hope this makes sense
@RevanZ41
@RevanZ41 4 месяца назад
Thank you so much sir.
@iqinitiative
@iqinitiative 4 месяца назад
Most welcome
@KyeyuneSudais-ou4ml
@KyeyuneSudais-ou4ml 4 месяца назад
Where did you get that det of 18 please Sir
@Byteme7
@Byteme7 3 месяца назад
See in 3:44
@AbethKaulga
@AbethKaulga 3 месяца назад
He's right check yours
@77vik
@77vik Год назад
Thank you so much for the help man
@iqinitiative
@iqinitiative Год назад
No problem 👍
@SnrKale
@SnrKale 5 месяцев назад
Thanks
@iqinitiative
@iqinitiative 5 месяцев назад
No problem
@HUSS_BOSS
@HUSS_BOSS 5 месяцев назад
9:07 correction, here its not -12 but 12 since -3*-4 = 12, leading to the result of 16 not -8
@iqinitiative
@iqinitiative 5 месяцев назад
Yes. Thanks
@onesmuspandu771
@onesmuspandu771 10 месяцев назад
🤩🤩🤩🤩
@iqinitiative
@iqinitiative 10 месяцев назад
👍
@btsforlife8856
@btsforlife8856 Год назад
Sir your explanation was soo good, though there was a mistake. Thank you sir😊
@iqinitiative
@iqinitiative Год назад
Sorry for that. It has been noted.
@btsforlife8856
@btsforlife8856 11 месяцев назад
No need to be sorry Sir 😊
@iqinitiative
@iqinitiative 11 месяцев назад
👍 😊
@veselinstoychev791
@veselinstoychev791 8 месяцев назад
2:32 Is this negative 2 or positive 2 ? thanks
@iqinitiative
@iqinitiative 8 месяцев назад
(-2)(-1)=2
@ttheimmanuella
@ttheimmanuella Год назад
Thanks so much. I really learnt a lot
@iqinitiative
@iqinitiative Год назад
Glad it was helpful!
@davethetrader10
@davethetrader10 6 месяцев назад
Thank you Sir…Row 2 column 3 should be -28 Sir…I think you made a mistake there
@LusandaThabethe
@LusandaThabethe 6 месяцев назад
and also row 2 column 2 should be 16
@---lw1mr
@---lw1mr 4 месяца назад
Positive 28
@MuhawenimanaBeatrice-iu4lo
@MuhawenimanaBeatrice-iu4lo 4 месяца назад
Thank sir
@user-rf8iq3tk8n
@user-rf8iq3tk8n 8 месяцев назад
I have liked the lesson
@iqinitiative
@iqinitiative 8 месяцев назад
Glad you did 👍
@RinoshaNaushad
@RinoshaNaushad 11 месяцев назад
Superb explanation sir thanks a lot
@iqinitiative
@iqinitiative 11 месяцев назад
You're welcome. I'm glad it was helpful 😊
@daviskipchirchir1357
@daviskipchirchir1357 Год назад
There is a slight mistake where you get 4 instead of 28
@iqinitiative
@iqinitiative Год назад
Yes duly noted. Thank you.
@akoterryeyong8259
@akoterryeyong8259 11 месяцев назад
Thank you so much sîr 🙏🙏💎✨
@iqinitiative
@iqinitiative 11 месяцев назад
You're most welcome
@sharmfernando3040
@sharmfernando3040 Год назад
Thank you!
@iqinitiative
@iqinitiative Год назад
You're welcome!
@russellpetrus122
@russellpetrus122 10 месяцев назад
so -12+4 is equals to -8 or 16.. please come through guys
@iqinitiative
@iqinitiative 10 месяцев назад
It was a slight mistake in solving. Kindly correct it.
@AbethKaulga
@AbethKaulga 3 месяца назад
Big ting is the concept, thanks for you correction
@user-uk1mz1wp8w
@user-uk1mz1wp8w 6 месяцев назад
What if the determinant is 0 How do we get the inverse
@dorcasedoh
@dorcasedoh 5 месяцев назад
What I know is if the determinant is 0, then the matrix given does not have an inverse
@iqinitiative
@iqinitiative 5 месяцев назад
A matrix with zero determinant is called a Singular matrix and it's inverse cannot be obtained.
@MatipaEdward
@MatipaEdward 3 месяца назад
Am just behind with how to transponse
@iqinitiative
@iqinitiative Месяц назад
Rows become columns and columns become rows
@josephtagg9263
@josephtagg9263 10 месяцев назад
Thank you very much. This helped out a lot!
@iqinitiative
@iqinitiative 10 месяцев назад
You're welcome!
@genatto
@genatto 6 месяцев назад
Thanks you so much. and bro there a mistake 9:15 (-4x-3)-(2x-2)=16
@iqinitiative
@iqinitiative 5 месяцев назад
Yes, you are right
@anamikakumari1786
@anamikakumari1786 11 месяцев назад
Yrr Q galat solve kiya hua hai Process shi hai 👍
@iqinitiative
@iqinitiative 11 месяцев назад
👍
@MartinSidada-om5hp
@MartinSidada-om5hp 5 месяцев назад
👍
@user-xz8yq2rm2l
@user-xz8yq2rm2l 6 месяцев назад
@iqinitiative
@iqinitiative 6 месяцев назад
💙
@anilgupta4801
@anilgupta4801 Год назад
M22 will be 16 instead of -8
@iqinitiative
@iqinitiative Год назад
Yes. I've seen the mistake. Thank you for the correction.
@Abdullah_gujjar
@Abdullah_gujjar 11 месяцев назад
thanks sir
@iqinitiative
@iqinitiative 11 месяцев назад
Most welcome
@fadhili9050
@fadhili9050 5 месяцев назад
umefanya nika question calculator yangu😢😢
@iqinitiative
@iqinitiative 5 месяцев назад
???
@techhassan1964
@techhassan1964 3 месяца назад
9:17 the is 16 not negative 8
@shivam4870
@shivam4870 3 месяца назад
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 😢
@soremekunadesola1566
@soremekunadesola1566 9 месяцев назад
This is helpful
@iqinitiative
@iqinitiative 9 месяцев назад
I'm glad it was 😊
@user-qf7cl6zc7t
@user-qf7cl6zc7t 5 месяцев назад
Thanks sir but you missed some of -+-
@iqinitiative
@iqinitiative 5 месяцев назад
Yes
@BenjaminAkraba
@BenjaminAkraba 6 месяцев назад
Please what about cofactors of 4x4 matrix all your videos are 3x3 please provide 4x4
@iqinitiative
@iqinitiative 6 месяцев назад
Sure thing.
@nelsonwanyonyi1907
@nelsonwanyonyi1907 Год назад
For cofactor for element -1 is -4x-3 not 3
@iqinitiative
@iqinitiative Год назад
👍
@yinhlewendy7086
@yinhlewendy7086 11 месяцев назад
Thank you,10 minutes before my test
@iqinitiative
@iqinitiative 11 месяцев назад
You're welcome. Wishing you the best 👍
@lamminhial9966
@lamminhial9966 3 месяца назад
The determinate is wrong, it's supposed to be 38 instead of 18
@iqinitiative
@iqinitiative Месяц назад
Yes
@simplevideoskannada6825
@simplevideoskannada6825 5 месяцев назад
Thank you sir🎉
@iqinitiative
@iqinitiative 5 месяцев назад
Most welcome
@SubhamPradhan-jb3lz
@SubhamPradhan-jb3lz 26 дней назад
2029 me attend karne wale comment kara
@ayanrosey8597
@ayanrosey8597 10 месяцев назад
Is this a kenyan
@iqinitiative
@iqinitiative 10 месяцев назад
Zambian
@SHIVA.......TECH....TELUGU
@SHIVA.......TECH....TELUGU Год назад
I have idea thise questions....
@iqinitiative
@iqinitiative Год назад
Okay 👍
@Zanda_from_Zim23
@Zanda_from_Zim23 5 месяцев назад
Thank you sir
@LearnAndGrowOnline
@LearnAndGrowOnline 5 месяцев назад
ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-VLaG4a0-Afo.html
@iqinitiative
@iqinitiative 5 месяцев назад
So nice of you
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