Inverse of a 3x3 Matrix | Co-factor Method

#matrix #inverse #3x3

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

[susannegangata]

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

[angelakaureaa]

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

Much appreciated thanks 👍

[WafiAhmed-zl]

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).

[kerryodjugo]

Thanks for unveiling the concepts step by step.

[pfpykxm]

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

[MILFORDMEYAMAHNAIK]

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

[ChaChaK-hylu]

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

[TaofeekAbdulazeez]

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

[ibrahimidris]

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

[AlumbweChibangula-obgv]

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

[Butorire]

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

[caysiustomagau]

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

[prescillamashaba]

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

[anamlicha]

second row third column also has error

[BirdmanOsei]

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

[veselinstoychev]

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

[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 😊

[HUSS_BOSS]

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

[btsforlife]

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

[davethetrader]

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