How To Find The Determinant of a 4x4 Matrix

[@TheOrganicChemistryTutor]

Matrices - Free Formula Sheet: bit.ly/3UE9Cmk Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/rInUnXyFjZecqq8

[@oscarcommittee2789]

it's a relief when i search for something and this dude's video appears

[@mrsamos2669]

Exactly😂

[@Cyber_Forex_Botswana]

same, I understand him more than anyone else,

[@appiahisaac9690]

Wow! This is the first time of learning 4x4 matrices. Thanks so much. You are the best tutor online.

[@sammyomoto5456]

What's with the thumbs down people? He is the best tutor ever, seriously.

[@ounie6230]

You've made this so simple, I can't believe how simple it is. Thank you so much.

[@leetoniadancecentralldc1269]

I'd rather give you my school fee. You've taught me everything I know. Wow, thank you for likes!

[@bma2224]

Can you write it?

[@leetoniadancecentralldc1269]

@@bma2224 Yes, easily.

[@izzat2717]

true2

[@Lettersfromtheuniverse]

True

[@Lettersfromtheuniverse]

Everything

[@adhelrechngorrech5818]

You are the best online teacher. You really helped many students Excel in their exams. Thanks

[@taxon2235]

This helped me prepare for my end of year exam and I aced it, thanks a lot man. Really, don't think that I could've gotten through my second semester exam without your videos. Which makes me wonder how you got to understand them all considering how complex they are!!!! Anyway thanks!!!!

[@Paradox-s6y]

The heck it's not complex at allll, it's just manual labour 😂😂😂, brroooooo so fumkin funny 🤣🤣

[@cemonycrissmiller9337]

I hate When someone dislike his videos Man is genius and deserves every bit

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for an excellent video/lecture on Finding the Determinant of a 4x4 Matrix. This is a classic problem in old fashion Linear Algebra/Systems.

[@SarcasticLampr4y]

Had a 3x3 on my maths exam last week. Thank you for all your information, got a High Distinction, top marks in my maths engineering class :D

[@Sibasish07]

Congratulations, my linear algebra exam is in a weeek😭😭

[@andrew4042]

@@Sibasish07 did you pass

[@kissarmin7130]

@@andrew4042 apparently not 💀💀💀

[@Kshatriya1]

@@kissarmin7130 he's dead

[@VirtualTech]

@@Kshatriya1 😂

[@esdan779]

I never understand stuff when we learn it in class, but I don’t sweat because I know he has my back.

[@obrienevance3641]

I even miss some classes but I don't sweat because I know he's got my back

[@akhileshkotiyal7472]

U talk like Naruto anime😂

[@josuequintero-td5gh]

I wonder what people do when they reach upper division courses, when there aren't as many resources available. Do they just get filtered out and switch majors?

[@pockyrice7418]

bruh im taking pre calc online and I literally came across this today, but it’s a 3x3 matrix and the HW is due today. I did not expect you to make a tutorial on how to do this. Freaking clutch man!!

[@JagexAnarchy]

I'm also in pre-calc. The way the book teaches it makes it much more complicated. This is so much easier

[@chiviza]

My professor speaks perfect english but I understood nothing when he showed this in the lecture. 40 seconds in with your video and I already get it. Thank you soooooo much.

[@aliyaismael7948]

dude I owed you everything, without you I would've been a college dropout

[@cervixcrusader85]

Fucking same

[@adritobiswas1982]

I don't comment generally but I read in Class 7. In my school, Cramer's rule should be in class 9 or something like that. Even I understood your lectures that is 2×2, 3×3 and now this 4×4 one. If you think I am lying, then I swear to God.Amazing! Teach like this!!!

[@Sibasish07]

Face reveal please, it is important to know the person who has taught me from junior school to high school to university

[@ncg8224]

He's never going to do that knowing how judgmental and creepy the internet can be. Some people even stalk and find people.

[@shearersean8910]

@@fergi5068 I'd say, it might be better that you just keep the secret than telling others about it. I mean, he doesn't intend to reveal his true identity, so it must mean something.

[@tb100020161]

If he did then they would get rid of him

[@jalalgk2415]

We're student of the teacher who we don't know his face:)

[@randomnisialyakisia3898]

@@jalalgk2415 Kakashi sensai....

[@VirtualTech]

Me an computer science student watching this after I forgot everything taught to us in 10th grade

[@mariammohamed7762]

+1🤦🏻‍♀️

[@tsitsimuzvare8195]

😂

[@DanielPolanco-cq8eq]

I was still learning geometry in high school, barely Calculus…

[@sambozamamboza6508]

Thank you, you are supper teacher from the day I heard your first math class on line never look others you made so simple, thank you so much.

[@miz3567]

It may be good practice to draw straight lines for determinant instead of square brackets. 5*[A] means different thing to 5*|A|

[@ayrthhhn]

:V

[@PenandPaperScience]

That is correct :)

[@abdullahsehgal1614]

cut him some slack , like u wouldn't be here if u knew more then him

[@aarohganjoo1676]

@@abdullahsehgal1614 hey you have a point but proper notation is very important. A matrix and determinant are not the same thing, so it would be incorrect to use square brackets when computing a determinant

[@nish3003]

@@abdullahsehgal1614 jeez, calm down dude, it was just a suggestion.

[@ไข่ไก่X2]

ฉันเป็นนักเรียนไทย ครูสอนดีมาก เข้าใจง่าย ได้ภาษาด้วยนิดหน่อยค่ะ กระชับรวดเร็ว

[@pauleglwadyseboutou9584]

Thanks a lot I have an end semester exam tomorrow and your video has remind me what I forgot. 🙏🏽

[@ElBernardProfessional]

how i wish i met you earlier my first degree program, you really makes maths lovely

[@elisabethoctavia1016]

Thank god, I found this channel, you are an angel. Thank you so much

[@chepaulinus2495]

Wow ,now I can find the determinant of a 4*4, thanks sir.

[@anwar4227]

One recommendation......you can use Sarrus rule for determinants and solve it quickly within 2 minutes

[@yashjoshi2944]

Will you elaborate..... Put a video make your own channel that would be nice! #from India🇮🇳

[@dermakol8543]

Recommend a bit of gaussian elimination - if you add third row to first and third row multiplied by 2 to second and fourth, you will get a nice (0, 0, -1, 0) column and you only have to calculate a determinant of one 3x3 matrix.

[@marcelukeje3510]

It doesn't work that way. It only works for equations

[@dermakol8543]

Yeah, it does, adding a multiple of a row doesn't change anything. The other row operations do, but it is still just a scaling by constant you can keep track of.

[@kefilwegabonakemo8960]

You explain better than my teacher🥂✨

[@padlock667]

Hello

[@hadeerrashad5486]

EXCELLENT explanations!! And thanks A LOT for telling us about the website

[@bbaa44x75]

I just want to thank u bro you are a true hero wherever you are I just want to tell u that u made a person happy 2day bcz of ur way of making things easier

[@itxxsaiff]

this content proved very beneficial to me Thank you Mr. Organic Tutorial ..

[@maishahaque6164]

This is one of the best educational channels in KZbin! Thank you for your efforts!

[@_ndot]

Explanation on the signs for each operation. Everything should be an addition and the sign comes from multiplying (-1)^(row-index + column-index). So, if you were to use the second row you should have: 2 x ((-1)^(2+1)) x |minor at M2,1| + 5 x ((-1)^(2+2)) x |minor at M2,2| + ... 2 x (-1) x |minor at M2,1| + 5 x (1) x |minor at M2,2| + ... -2 x |minor at M2,1| + 5 x |minor at M2,2| + ... This part gives you the sign for row 2 column 1: ((-1)^(2+1)) = -1. The easiest way to think about it, is to add the indices if its odd is - if its even is +. Row 2 Column 1 => 2 + 1 = 3 => odd - Row 2 Column 2 => 2 + 2 = 4 => even + Row 2 Column 3 => 2 + 3 = 5 => odd - Row 2 Column 4 => 2 + 4 = 6 => even + ...

[@rubbabmalik5184]

its really helpful to me thanks a lot dear your way of teaching is superb

[@anboo5117]

The instant relief you get when you search for something math related and immediately recognize the black board with yellow and white writings that belong to the organic chemistry tutor.

[@DhedoDhedo]

You are the best teacher ever.😊

[@revygoth]

THANK YOU. Exam in less than 2 hours. Lets goo

[@upw4353]

from ochem to biophysics this guy is always helping me out thanks

[@darbi6290]

Thanks, man. That was more helpful than 5 hours of suffering in university. You so cool)

[@smakahlenkwanyana3040]

you made my life so easy brother thank you

[@snehalakshmi4457]

So glad you exist! Love learning from you

[@knkworld6765]

Thankyou so much sir it's a great help for me . Respect and love from India (Kerala)

[@amitagrawal1735]

remind my old days of schooling ..

[@nup_pun]

or you can simply transform it into an upper triangular matrix by performing row-elementary operation and then by multiplying its diagonal elements we get the determinant.

[@physician8683]

that's gaussian which is essentially better than cramer's but he's using cramer's rule

[@nanananabatman7056]

@@physician8683 hes not using cramer, or else he would replace the values with the result to get the values

[@nanananabatman7056]

with what do you multiply the diagonal ?

[@noahsibahi-jackson8757]

@@physician8683 No he is not, that isn't crammer's rule

[@transriotgirl]

My class had a lot of problems with this so my teacher said, "I guess it will be in the exams". We all laughed it off, but oh boy, we should have listened

[@Ocean-ov9xp]

😂

[@NaiduRocks-xy9ft]

Solving by this method is heaven.tq man🙌

[@seanhsieh4149]

THANK YOU SO MUCH, MY HERO. COMMENTS AHEAD OF 2 DAYS OF FINAL 💜

[@JACINTADOITA]

The bestest teacher ever!

[@steveaustine3269]

At last I'm cleared of confusion💓📖

[@farisanwari777]

Thank u good sir u helped me prepare for tomorrow's quiz... here's hoping!

[@centric145]

Thank u so much.I am never disappointed on this channel

[@seamusflannery3374]

This is a GREAT way to find determinants

[@sergosdeoliveros8033]

a comment for the algorithm out of thankfulness

[@Yayayaya-rq5sw]

I can't believe I did it.your Awesome 👍. Where were you last semester! I'm taking the class again however it all good . I have a better understanding now. Thank you so much

[@yashjoshi2944]

Thank by watching your video... I got some help in studies!

[@amogusgusamo5591]

The best teacher. Thank you.

[@davidmurphy563]

That's the full way! You can use row reduction to add more zeros... But you have to keep track of the operations and sdd a coefficient for each type. Or, you know, use a function.

[@jaelmora5588]

Thanks from México for this great video!

[@RanaMuneeb-j9l]

Good work brother 👍🏻

[@Fasonlar2023]

Best of the best Sent by Azizbek He is from Uzbekistan

[@amarkrish9275]

Nice Nice And very nice Thank you very much. Sir Thank you very much. May Allah bless you and grant you a long life. Be happy. Be great. Please go ahead. All the best Sir All the best. 08/04/2022 Friday

[@masivuyedangazele7316]

Lol, held me down in high school. Still holding me down in University 🤝

[@miafilipovic2524]

Thank you so much. Greetings from Croatia!

[@medika9651]

If only my teacher explained it like you ...

[@NaomiLengerded]

Indeed it is helpful ❤ Thank you very much for sharing this important tutorial

[@Resinart_and_caligraphy]

Thanks for all free lessons

[@dossantos3255]

Square brackets are for matrices. For determinant mod is used.

[@sweetfleuris]

been here since my O level and now im in uni, not all heroes wear cape

[@shandlermejos2646]

Nice video as usual, please keep uploading more videos, you are helping us a lot. Thank you.

[@muniradanish8510]

Thank you so much your videos always solve my problems

[@mrdracula7822]

Very good informative video very useful thanks alot Mr God bless u 😋

[@CMSLine8]

Love from India. I have fully understood after going through your video. I used to become very uncomfortable when I saw 4×4 order determinants.

[@SUNSHINE25150]

You're the best 🎊☺️

[@Anduuu077]

very good, straight to the point video

[@AbdulMajeed-zp3xl]

0:56 when you converted firstly 4*4 to 3*3 determinent why brackets are used determinant shoupd be used in 3*3

[@erriellenicoleharo4767]

IT'S VERY CLEAR. I THINK I LOVE YOU

[@MrWibbers]

putting one of these in an exam is basically the equivalent of a hate crime...

[@PenandPaperScience]

I had one on a physics 101 exam during my bachelors, expected result.

[@MrWibbers]

@@PenandPaperScience f

[@dee2484]

This guy is my hero

[@esarapuharika1685]

Thank you so much for the explanation 🤗 Really explained very well🙂

[@kingarayaankitff6942]

Excellent sir ji thanku so much for information

[@TechnoTuner]

Love from india 🇮🇳❤️

[@theone4821]

Your videos are gold!

[@abdelmagedkhater2933]

Welcome to MATH WORLD

[@frenglinnarah5176]

Thankyou so much sir so much knowledge learning from u sir

[@Vicodinlord]

+Organic Chemistry Pls make it a 2020 thing to put time stamps on some of your longer, broad topic videos. I thank you for all you do. Love & Peace.

[@RME76048]

At 10:18 you said 318 was the determinant for a 3x3 matrix. It is 4x4 if I am not mistaken. VERY helpful, BTW! Thanks!!!

[@aidansunbury9341]

This channel is amazing

[@snooptech]

Thanks for letting me know the signs alternate

[@adamsykes3792]

I will note that there is another method where you can cancel all of your selected row/column into 0s besides one so you only have to solve 1 3x3 matrix. The setup is slightly more complicated but it ends up being slightly quicker. Otherwise, this is a great video.

[@yonatanmechal9497]

Excellency at its best!!

[@abdullahjaved6998]

Dude you are a lifesaver, thank you so much.

[@Eaa307]

شكرا جزيلا لك ..

[@sakshu6549]

Oh thank you for your this video 🤗...... outstanding sir

[@teferashimbulo3274]

Excellent Tutor

[@a.r.a8545]

Can you please do a video on depreciation?? Thanks.

[@moussachouka5305]

Your method is vero great congratulation

[@likhithpraharshireddy5898]

Thank u I am always be grateful to you

[@jomeltopiq5370]

Thank you so much, now I learned a lot God bless u

[@glorytuesday1034]

thank so much sir ,i understand better now

[@PenandPaperScience]

Finding the right solution comes down to focus and not making the tiniest mistake! For those that want some more practice, I've also uploaded a video where I solve a 4x4 matrix, step-by-step. Same procedure, different matrix! It might help some of you! :)