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

#matrix #inverse #3x3

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

[Trilz]

what a phenomenal way of teaching the same this is the best tutorial explaining inverse of 3 by 3 matrix🔥🔥

[WassupCarlton]

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

[KwekuGyampim]

This your video will never get old, I just used it in teaching my younger sister

[JHLeeAlpha]

Finally. A video where it is explained easily. Others are either going to fast, skipping a step assuming we know how to do it, or both. You explained it in a nice pace and coherently.

[ahmedkhalifii]

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

[Peter.H___]

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

[NZ-bgec]

THE BEST TUTORIAL ON YOUTUBE THANK YOU SO MUCH!!!!

[kylitrixgames]

I rarely complement YouTubers, but you deserve some appreciation. A very clear explanation, step by step, with even a short summary at the end.

[simonrestrepo]

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

[Birol]

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

[ryoshii]

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 ^^

[mhmmdsaralov]

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

[swagnuts]

super helpful. This was the only tutorial that made sense to me, well taught

[happymakhanya]

Thank you, very nice method and easy to understand

[MenkaEphraimMensah-lmnn]

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

[GhOsT-stch]

Thank you, i understand it more than i did, will take some time to learn fully but this is a head start

[NokulungaMacu-uqqu]

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

[judeoludunmade]

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

[hailegerea]

excellent teacher i am understanding and nonstop

[sadfaceemoticon]

This is super helpful thank you so much!