Inverse of a 3x3 Matrix

This precalculus video tutorial explains how to find the inverse of a 3x3 matrix. You need to write an augmented matrix containing the original matrix and the multiplicative identity matrix. You need to convert the original matrix into the multiplicative identity matrix using elementary row operations. The multiplicative identity matrix will change into the inverse of the original matrix as long as you apply the same elementary row operations to it.

Full-Length Math & Science Videos:

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Introduction to Matrices:

Adding and Subtracting Matrices:

Scalar Multiplication of Matrices:

Solving Matrix Equations:

Multiplying Matrices:

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Gaussian Elimination & Row Echelon Form:

Gauss Jordan Elimination:

Gaussian Elimination With 4 Variables:

Inverse of a 2x2 Matrix:

Inverse of a 3x3 Matrix:

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Determinant of 2x2 and 3x3 Matrix:

Determinant of 4x4 Matrix:

Cramer's Rule - 2x2 Linear System:

Cramer's Rule - 3x3 Linear System:

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Final Exams and Video Playlists:

[lkdjlkjd]

My Bachelors in computer science should say, "The University of The Organic Chemistry Tutor."

[firepup]

it is so easy to make small mistakes in these types of questions.

[owenjohnson]

I appreciate that you leave the mistakes in the video. Helps to understand what to do if things go wrong

[kevinsweeney]

You have no idea how much you've helped me with chemistry and math over the years. Thank you :)

[brcarter]

After seeing these in my calculus class, I wanted to drop the course. After seeing him do them, I swear to god they are actually kinda fun, like math sudoku puzzles or something.

[ricardooviedovaldivia]

This video is timeless, I'm very thankful that you take the time to explain every single step of every single topic. Keep it up! :)

[ChalcolithicPrizim]

I like your straightforward approach to finding the inverse matrix. I have only one problem with this: the leading row in an operation should always be the row where the operation is taking place, like this -> R2-R1 -> which means that the second row is where the first row is being subtracted from. Doing this helps me to avoid ambiguity.

[mositothabane]

YOUR VOICE IS LOUD AND CLEAR BOSS THANK YOU SO MUCH

[henryNellison]

Bro this guy’s voice is more relaxing than the sleep musical

[josuedominguez]

As much as I am thankful for this video, for helping me through my struggles with math, I do believe that I have found a problem. At 7:59, we are supposed to multiply 2 with 1 and then subtract 0 from the sum. So 2 times 1 is 2, minus 0 is still equal to 2.
I apologize for any disturbances, but....math is frustrating.

(EDIT) I apologize for the cries and outbursts. I was frustrated, it is the middle of the night. I'll finish this one problem, and it is the bed for me.

[ezio_g]

I've seen lot's of videos from this channel but never thought about subscribing till now. I thought it was about time since this guy does such a good job explaining things. Thanks.

[izzat]

today my lecturer will teach me about this.... instead of listening to him for 2 hours, I would rather watch your 15 minutes video, so I'm not be confused like my other classmates

[datpham]

Thank you so much The Easy University of the organic chemistry tutor.

[karla.garcia]

You might be a wizard. I was stuck on a problem and had already done some 3x3 matrices but this problem was giving me a lot of trouble. I watched maybe 3 minutes of this video and almost immediately was able to break through the problem. Our numbers were not similar in any way. Thank you Mr. Wizard.

[nick]

HOLY CRAP THANK YOU, AS A FRESHMAN IN COLLEGE YOU DONT EVEN KNOW HOW MUCH I NEEDED THIS!!!

[OscarMartinez-mltw]

I love how I learn more on here than I do in my actual algebra 2 class, thanks

[lezaremedia]

my question is that on 8:oo you multiplyed row 1 by 2 and substract it by row 2. so on the first column you multiply no 1 by two and u substruct it by zero (2*1 - 0) . it should be 2. how could it be one ?

[markhauk]

I have used this channel to get throught Calculus 1 and 2, and computer science Mathematics 1 and 2, and statistics courses on university in Norway. Just want to say thanks for helping me :).

[leginnipsjd]

3/4 of people on here are university students lol

[ismayilismayilov]

that was a very good video, i was at uni and my professor jsut kicked me out of lesson. Then thank to you, i could understand the lesson.
Thanks :)