How To Find The Determinant of a 3x3 Matrix

This video explains how to find the determinant of a 3x3 matrix.
Introduction to Matrices: • Intro to Matrices
Adding and Subtracting Matrices:
• Adding and Subtracting...
Scalar Multiplication of Matrices:
• Scalar Multiplication ...
Solving Matrix Equations:
• Solving Matrix Equations
Multiplying Matrices:
• Multiplying Matrices
__________________________________
Gaussian Elimination & Row Echelon Form:
• Gaussian Elimination &...
Gauss Jordan Elimination:
• Gauss Jordan Eliminati...
Gaussian Elimination With 4 Variables:
• Gaussian Elimination W...
Inverse of a 2x2 Matrix:
• Inverse of a 2x2 Matrix
Inverse of a 3x3 Matrix:
• Inverse of a 3x3 Matrix
__________________________________
Determinant of 2x2 and 3x3 Matrix:
• Determinant of 3x3 Mat...
Determinant of 4x4 Matrix:
• How To Find The Determ...
Cramer's Rule - 2x2 Linear System:
• Cramer's Rule - 2x2 Li...
Cramer's Rule - 3x3 Linear System:
• Cramer's Rule - 3x3 Li...
___________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
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[@TheOrganicChemistryTutor]

Next Video: kzbin.info/www/bejne/nIjdhqqoqZaNZtU Final Exams and Video Playlists: www.video-tutor.net/

[@CPTsack]

This man has singlehandedly taught most of the classes in a STEM department. ilysm sir

[@miriamputter7059]

Yes. And it is amazing. I have a subscription to Coursera. But nobody there can explain it as understandable as this simple school black and whiteboard. So I am asking myself why I am paying the money to them. However, I am just a beginner and will do the course of 29 lections about integrals later. I still do not understand what this all has to do with Python and Programming overall, because I am not a programmer, but I do feel the beauty of mathematics. And it is good that in the internet era we all have access to those materials. Even someone, who has not studied math in university (it was my hidden dream, as also a study of physics, but I have studied history and philosophy). I do believe, that this knowledge is also important to systemize the understanding of every Data you use in your job. Especially, if it has something to do with computers. I do think, that this interest of mine came from the fact that I am surrounded by engineers and I have gotten addicted to mathematical logic.=)

[@Joe-os2dd]

@@miriamputter7059 you have to know linear algebra if you want to be hireable with programming with python. numpy is all matrices

[@simmii6107]

​@@miriamputter7059tlwr (Too long won't read)

[@user-bh4tc6xk7k]

Hy cute girl

[@bigboybeet]

I’m in 8th grade bro

[@MsLiteraturegirl]

Simplified it, demystified it AND gave the formula. Brilliant, thank you!

[@devonm301]

An easier way to find the determinant of a 3x3 matrix would be to rewrite the matrix in terms of a 3x5 matrix where the two added columns are simply the a and b element repeated. You then take the summation of the product of the 3 primary diagonals from upper left to lower right and subtract the summation of the product of the 3 primary diagonals from upper right to lower left. Your new matrix would look something like, a1 b1 c1 a1 b1 a2 b2 c2 a2 b2 a3 b3 c3 a3 b3 And finally the resulting algorithm, ([a1*b2*c3]+[b1*c2*a3]+[c1*a2*b3]) - ([b1*a2*c3]+[a1*c2*b3]+[c1*b2*a3]) Would yield the desired determinant

[@FelixMarshFTW]

this looks a lot easier! i haven't tried it yet but i gave you an upvote edit: can confirm, this works!

[@harshika9499]

I know this method it was also told by our teacher (in india)

[@devonm301]

@@FelixMarshFTW indeed. This only works for a 3x3 matrix though

[@code_adonis]

@@FelixMarshFTW doesn't work for higher order matrices it's called saras method btw

[@tytea_brea2142]

@@FelixMarshFTW that's how my math teacher does it

[@ggripen]

Thanks, literally took me few minutes to understand the walk-through. I remember when my lecturer tried to teach us this, wasn't as easy to follow.

[@ccuuttww]

because your teacher suppose u learn for exam and he don't tell u the meaning of determinant If u want to learn I recommend a book "linear algebra and its application"

[@miriamputter7059]

Some lecturers are very talented academics, but can not explain the simplest things. It is ok. Of course, if you are not in a situation where the work has to be done right now.

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for showing students How to Find the Determinant of a 3X3 Matrix. There is whole chapter on Determinants in Linear Algebra.

[@jamesbrooks3335]

Thank you. I've only watched two videos thus far, and I liked them. Hopefully it will help me in the future. -JDB

[@user-purity593]

The lecturer taught me this and I wasn't able to follow,,,thank you so much you have assisted me❤❤❤❤

[@kalpanastha1431]

Your teaching have made me feel easy in determinant chapter

[@JosiahMeck]

You make it simple for us to understand fully.. Thanks and God bless you.. Please do more and send it to KZbin..

[@victorkiprotichkurgat4575]

Thanks so much, it's a quick and a clear way to understand

[@umahmaruche9829]

This guy just helped me in my 30 question matrix homework 😊😊😊😊😊😊

[@JamsonLewis]

really helpful and understandable, thank you 🙏

[@Humbleenny]

I really enjoyed this😊 I actually know nothing about Matrixes But now...i can say I'm good🎉🎉❤ Thanks so much❤😊 You really helped me to perform well in my Assignment❤

[@d-accesslearning1140]

What type of writing tablet do you use for these lessons?

[@ajinkyabhatjee3082]

Good work brio plz make video on limits and differentiation

[@AlSahHimAlghul5581]

Hi man, you damn Good can you please make a video on Factorisation, Simplifying, proper fraction and improper fraction or if you already have them please share the link. am doing Advance Math and am finding it difficult because am struggling with factorization and others.

[@ellaillustrates9350]

Thank you so much, sir😍😊😘!

[@R.Trinath]

Nice explanation sir..😊❤

[@RadoHudran]

Can you make a tutorial on irrational functions pls?

[@sonalisona3712]

nice explanation sir.tq

[@ajinkyabhatjee3082]

Your channel is so world classplz we and my frndz are all following plz clear aur calculus parts and concepts

[@samuelelijah1904]

You totally made me understood this❤💖✨

[@balatripuraborra8207]

Thank you so much sir

[@malakmalak4830]

Do we do just the first row of the matrix? Or it depends

[@boywakitui3857]

thank you ❤

[@user-ty9kp7bb3h]

He done great job 👏 excellent sir

[@cashesbankz1055]

Thank you a lot

[@Jordan-qi2dn]

You should make a video about laplace expansion for matrices larger than 3x3

[@Pritisnigdha_Dash]

thnku so much 🙏

[@aaaaaaaaaaaaaaa49881]

Good keep it up

[@darksoulomkar9499]

Thank you

[@Samiullah-lb3wg]

Genius sir....

[@jeffin3.063]

Thank you sooooooooo much i understood this thing now only😅

[@sivani2433]

Thanks!

[@cynthiawan2585]

quite appreciated

[@user-qg5pz7ze6x]

Thank you sooooo much

[@marriumhasnat3075]

Thanks bro

[@bilalrahim2076]

Oof my favourite KZbinr ngl

[@ccuuttww]

For examination your school home work this method is ok however if the matrix in 5X5 you cannot solve it with this rule you should put the matrix into upper triangular form and multiply all diagonal elemnt

[@anshumankalpdev8663]

Thanks

[@MICJoker2]

Thanks ❤

[@denisevervin4984]

Is 2×3 and 2x3 possible?

[@KrithikaRR]

Tq sir❤

[@prequelanimations539]

when you email the teacher the day before the test asking if you can use a calculator and he says no and i proceed straight to this video.

[@xxbendover6995]

There is a far easier way of finding the determinant of a 3x3. I can show you a link if you're interested and you could make another video.

[@pspmaster2071]

arthur karim Can i see the link?

[@xxbendover6995]

@@pspmaster2071 kzbin.info/www/bejne/jGTIaKBjpqt3fLc This will take maybe one or two problems to get used to. Super efficient.

[@purnachander1563]

Plz expain how to find Determinant of 4x4 matrix

[@tormentedsunbeam]

I’d assume it’s the same way. Just way more math

[@isssathvik]

What's the guarantee that what u have just said in this video is absolutely correct

[@suhailraja7797]

Maybe because this method is proven in mathematics How about you solve these yourself instead of asking stupid questions

[@ps3stinksgoxbox]

i love you

[@mohammadhuzaifkhan7828]

Nice

[@sanchoworku7446]

that is more simpler than my teacher

[@user-ck6de9zc6c]

Check -5*-6..the 3rd 2*2 matrix.

[@gift99]

it's -737 actually but thanks for the concept

[@ravindradesale1944]

nice

[@KhrishnChipisa]

Where has the-3 come from

[@user-ol2rn3de9w]

We take the first row

[@user-ro1cc8tz6d]

short and consince

[@bamboulaaa1603]

Tu as fais une faute -6 x 8 =-48

[@muhammadshafiq1384]

It's not necessary to have zero answer of this rule....

[@vanshikasharma4526]

First

[@shibilahammed588]

Muthew scnnn 💋💋💋💋

[@atienonatty]

-3 please explain 😅

[@Suchita33]

There is a pattern, the odd number placement will get negative sign in front of it

[@antonykc3215]

Its alternating signs like +-+ -+- +-+

[@andrewchen2590]

theres a much easier method to do this...

[@JoelGiku-se4bv]

Thank you very much

[@manasvithakur290]

Thanks