Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ruclips.net/video/vXqlIOX2itM/видео.html
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!!!!
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?
@@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.
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.
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!!
@@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
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!!!
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.
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.
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.
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.
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
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
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 + ...
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.
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
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! :)
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.
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ruclips.net/video/vXqlIOX2itM/видео.html
it's a relief when i search for something and this dude's video appears
Exactly😂
You've made this so simple, I can't believe how simple it is. Thank you so much.
I'd rather give you my school fee. You've taught me everything I know.
Wow, thank you for likes!
Can you write it?
@@bma2224 Yes, easily.
true2
True
Everything
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
Congratulations, my linear algebra exam is in a weeek😭😭
@@Sibasish07 did you pass
@@andrew4042 apparently not 💀💀💀
@@kissarmin7130 he's dead
@@Kshatriya1 😂
Wow!
This is the first time of learning 4x4 matrices. Thanks so much. You are the best tutor online.
What's with the thumbs down people? He is the best tutor ever, seriously.
dude I owed you everything, without you I would've been a college dropout
Fucking same
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!!!!
The heck it's not complex at allll, it's just manual labour 😂😂😂, brroooooo so fumkin funny 🤣🤣
I never understand stuff when we learn it in class, but I don’t sweat because I know he has my back.
I even miss some classes
but I don't sweat
because I know he's got my back
U talk like Naruto anime😂
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?
Face reveal please, it is important to know the person who has taught me from junior school to high school to university
He's never going to do that knowing how judgmental and creepy the internet can be. Some people even stalk and find people.
@@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.
If he did then they would get rid of him
We're student of the teacher who we don't know his face:)
@@jalalgk2415 Kakashi sensai....
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.
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!!
I'm also in pre-calc. The way the book teaches it makes it much more complicated. This is so much easier
I hate
When someone dislike his videos
Man is genius and deserves every bit
It may be good practice to draw straight lines for determinant instead of square brackets. 5*[A] means different thing to 5*|A|
:V
That is correct :)
cut him some slack , like u wouldn't be here if u knew more then him
@@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
@@abdullahsehgal1614 jeez, calm down dude, it was just a suggestion.
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!!!
You are the best online teacher. You really helped many students Excel in their exams. Thanks
This channel and Khan Academy got me through high school and now University
how i wish i met you earlier my first degree program, you really makes maths lovely
EXCELLENT explanations!! And thanks A LOT for telling us about the website
Wow ,now I can find the determinant of a 4*4, thanks sir.
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.
It doesn't work that way.
It only works for equations
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.
The bestest teacher ever!
This is one of the best educational channels in RUclips! Thank you for your efforts!
You are the best teacher ever.😊
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.
One recommendation......you can use Sarrus rule for determinants and solve it quickly within 2 minutes
Will you elaborate..... Put a video make your own channel that would be nice! #from India🇮🇳
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.
Me an computer science student watching this after I forgot everything taught to us in 10th grade
+1🤦🏻♀️
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.
that's gaussian which is essentially better than cramer's but he's using cramer's rule
@@physician8683 hes not using cramer, or else he would replace the values with the result to get the values
with what do you multiply the diagonal ?
@@physician8683 No he is not, that isn't crammer's rule
Thanks, man. That was more helpful than 5 hours of suffering in university. You so cool)
You explain better than my teacher🥂✨
Hello
So glad you exist! Love learning from you
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
😂
ฉันเป็นนักเรียนไทย ครูสอนดีมาก เข้าใจง่าย ได้ภาษาด้วยนิดหน่อยค่ะ กระชับรวดเร็ว
Thank god, I found this channel, you are an angel. Thank you so much
Thanks a lot I have an end semester exam tomorrow and your video has remind me what I forgot. 🙏🏽
from ochem to biophysics this guy is always helping me out thanks
you made my life so easy brother thank you
At last I'm cleared of confusion💓📖
Solving by this method is heaven.tq man🙌
its really helpful to me thanks a lot dear your way of teaching is superb
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
THANK YOU. Exam in less than 2 hours. Lets goo
THANK YOU SO MUCH, MY HERO. COMMENTS AHEAD OF 2 DAYS OF FINAL 💜
a comment for the algorithm out of thankfulness
The best teacher. Thank you.
This is a GREAT way to find determinants
Nice video as usual, please keep uploading more videos, you are helping us a lot. Thank you.
Your videos are gold!
this content proved very beneficial to me Thank you Mr. Organic Tutorial ..
Excellency at its best!!
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 +
...
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.
Thank u so much.I am never disappointed on this channel
+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.
Thanks for all free lessons
IT'S VERY CLEAR. I THINK I LOVE YOU
Thanks from México for this great video!
This channel is amazing
Square brackets are for matrices. For determinant mod is used.
Thank by watching your video... I got some help in studies!
very good, straight to the point video
Thank you so much for the explanation 🤗
Really explained very well🙂
Thankyou so much sir it's a great help for me . Respect and love from India (Kerala)
Thank u good sir u helped me prepare for tomorrow's quiz... here's hoping!
Thank you so much. Greetings from Croatia!
Very good method i like your teacuing method
Excellent Tutor
Very good informative video very useful thanks alot Mr God bless u 😋
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
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.
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!!!
This was really helpful
Thank you . this is so helpful
Very helpful and explained perfectly!
Thank you so much for the awesome lectures! :)
Yess
Love from india 🇮🇳❤️
Lol, held me down in high school. Still holding me down in University 🤝
Thanks for letting me know the signs alternate
Thankyou so much sir so much knowledge learning from u sir
Indeed it is helpful ❤ Thank you very much for sharing this important tutorial
Thank you so much your videos always solve my problems
Dhanyavaadha
Thank you man this is really helpful
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! :)
Dude you are a lifesaver, thank you so much.
Thank you so much 🌹
This was very helpful thanks
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.
Oh thank you for your this video 🤗...... outstanding sir
Excellent sir ji thanku so much for information
I loved it bro!!!
Thank you so much. You have made me understand more better
Love your teaching
You are a life saver
Nice explanation
Can you please do a video on depreciation?? Thanks.
Your method is vero great congratulation
very nice teaching