Finding the Determinant of a 3 x 3 matrix
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- Опубликовано: 11 мар 2009
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Finding the Determinant of a 3 x 3 matrix. I show the basic formula and compute the determinant of a specific matrix.
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Wasn't this video posted in 2009?
What is crammer rule
It's states the solutions of 3 equations
Bhai JEE MAIN aA raha hai...brace yourselves
For an example if the first row was 1 -2 -4 would it be +1|?| -2|?| +4|?| or not cause i'm confused by that part ?
Your almost 12 year old videos are still helping students around the world. Thank you so much!
Long live online education :)
They really are
Yes .....
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I love u darling... 💋💋💋
I m from India...
Those ads saying "are those videos from 2006 really helping?"... yes, very much
it seems to help so many people, and people seem so grateful in return.
i am happy that i have something that i can share with people that makes them feel better!
Thanks sir!😄
11 years ago
:)
Yes it helped me a lot
Thank you sir
you deserve my professors paycheck
Thank
you
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much
thanks man saved my ass..
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@@seemachauhan4402 I'm great and how is it going with u ?
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Missed lecture. Not a problem! thank you so much sir!!!
I agree
Well eye fokin desagrae !
I just gotta say that I have been watching your videos since I started taking pre-calculus in high school... I now attend Purdue University and I'm taking Linear Algebra and still go straight to your videos the minute I don't understand something. You are seriously a life saver! And I can't thank you enough!!
How many kids do you have now?
@@Zirno_ lmao
you probably should also point out that any row works. Following the following:
[+ - +]
[- + - ]
[+ - +]
any row should give the same result following the sign convention above.
I'm trying to figure out how he came up with the signs of the 1,-6, and 4. I'm assuming you use the signs from your comment to decide. So if a11=-1, when you write it out it actually becomes +1? Hope I'm clear in my question. It is the one thing that was not covered in the video.
itsFarawaySkies no, what I mean is when you cover up the numbers, those determine the sign of the the result of the smaller determinant. in this case he used the first row, so we follow the [+ - +], a11 is positive so we leave that, a12 is going to be negative so put a negative in front of that. In your case, if a11 is -1, since in that definition a11 is positive, you multiply it by a positive(times +1) so it's still -1.
But if we are to use the second row, when we cover up the 2, after we find the determinant of that smaller matrix, we times it by a negative(times -1), since row 2 is [- + -], the 7 will be multiplied with a positive(times +1) and so forth.
itsFarawaySkies If you go into Wikipedia and key in Laplace Expansion it will explain why the middle, smaller matrix changes from + to -. It has something to do with taking -1 to the power whose sum is the number of the row added to the number of the column. Example: let i be the row number and j be column number. (-1)^(i+j) will determine if their sum is odd then it will be negative and if their sum is even then it will be positive. Something not explained in the video.
Aryan MoT
Math based lecture + League player - checks out
(-1)^(i+j)
14 years and still helpful
You have taught me more in less than 7 minutes than my lecturer has taught me in 2 months, thank you!
Patrick!! My nigga!
thanks for watching for so long :)
Awesome video; you are the best math teacher I have ever listened to, including those on RUclips and in school. I was about to mention the alternating positive-negative pattern, but, sure enough, you pointed it out a second time right at the end of the video, which was perfect. Thanks for the video, it really helped me out in an efficient amount of time.
Patrick, you are hands down the best person doing this on youtube. Freal, you are the proverbial SHIZNAZZ. Keep it up man! And f'real, thank you!
glad ya like it :) come back any time!
Way to come in clutch my man. I thought I’d never learn this because of the way my professor was teaching it. Great job!
I am telling literally every maths student I know about you, you're saving me from my exam! I've been sick for the past week and have found it difficult to revise, so I've been watching your videos for the past week in order to be doing something! I'm now better, my exam's tomorrow and I'm doing examples and getting them right!! Thank you so much!!
This guy is the best! Back when I was learning trigonometry (now taking linear algebra), this guy made me a GOD when it came to the unit circle. Even now he's extremely helpful.
yes, i agree!
i was debating which way i would show first....
i decided on this method though cause i think it ends up being more insightful : )
however, it may also be more computationally cumbersome, but not by very much i think
A year later and I still find myself using your videos to help with math. Thanks for all the help the past 2 years with your videos!
I found this video back in 2015, and I'm revisiting it again 5 years later in the midst of the Covid era of teaching. Thanks again. You deserve all the credit for having the best video on finding the Determinant of a 3x3 Matrix. 🙇♂️🙇♂️🙇♂️🙇♂️
Its not your knowledge, but the way you spread it, is what makes us so grateful to you.
Love your well paced, extremely easy to understand explanation. Many Thanks!
Thank you so much, you're a great teacher! I had a flu and missed 3 weeks of courses at my University and you made catching up on matrices much easier. Million times thanks!
Same with me 😂
11 year old comment , wow what you doing today
The way you explain is is so relaxed and chill, I just like to listen to it WHILE I study :)
Thank you! Thank you! Thank you! I am extremely grateful you are making videos on RUclips!
Thanks a lot I wish my teacher would explain things like u, I swear we r not dumb but teacher don't know how to explain things
You r a life saver
Huda Abbas I thought i was dumb until I started learning online😄 I can relate to this😂
You r right
> "not dumb"
> "u" "r"
> no periods
> "we r not dumb" "I swear"
@@Art-fn7ns you do realize that the og comment is 4 years old, right?
That's a great tutorial. Very helpful
Remember running through these vids in my linear algebra course in 1st year uni. Helped me tremendously to get through my engineering program. Patrick is a legend!
You are literarily the best tutor ever!!!! i have watched adding and multiplying matrices and now this! it helped me a lot for my exam. *standing ovation*
@jamesvickers19 well, teachers and instructors are more educated than their pupils ; ) that is why they are at the front of the room! all the same, glad u like the vids!!
Why are the signs plus, minus, plus? Why are they alternating? And I know (now) how to compute a determinant, but what does that number mean? What, in essence, is a determinant?
Keni Angervo sing changes bcz we take it as( -1)^(m+n)
its the triple product, it has various applications in electrical physics and math such as circuits and volume
Danny Lopez also it is first used in matrices which I red in my 12th
You have no idea how great a learning tool this is! I have to take linear algebra as a requirement and this has really saved me for my exam tomorrow. This is way better then what I did in class. Thanks alot!
Patrick, You're awesome. I really understood your method of teaching. Thanks alot Patrick!
God bless you Patrick, great job..
thanks!
You are good
you my friend, are a lifesaver
U commented 7 years ago, I hope u come back to see this reply 😁 , maybe it will be nostalgic
@@dev.prateek5781 Oh my Gosh, Having just graduated college and started working my first job.... this was definitely nostalgic
@@dylanmetzdorf i hope it made u smile😉 and you living a happy life. Good luck for future😁
Thanks so much! This was so helpful. Our teacher had us watch this in class when he was absent and it helped so much!
your videos are SUPER useful,simple,easy
THANKS ALOT
The shit we all students have to deal with.....
Iris Park hope you're a doctor by now
Lol
are u though?
Are you a doctor now?
@@vedangbohra4562 hell no
Your 7 minute video explained this so much better than my tedious lecturer could in an hour. Thanks!
hello from 2022!!
@@rajeshvaram9320 from 2023
subscribed immediately.. thanks so much ,I love your voice ,you have really helped me, my lecturer made it look so difficult, Im grateful.. all the way from Kenya
Thank you so much for taking the time to explain this and post it! You've helped me a ton.
my online classes description of finding the determinant of a 3x3 Matrix, was jibberish compared to this spectacle of logic you presented to me. THANK YOU.
Would not have made it to Diff Eq without patrick he is a Sith Lord.
thanks my teacher did a bunch of problems w/ Vectors using matrices but most of our class didn't know how to do matrices, so he told us we have to learn it on our own, teacher of the year for sure.
After 12 years ,i watched that and thank you for your effort.
After all this years i wish you have a good and healthy life.
Thank you so much, I couldn't follow my teacher's lecture. If there is a way I could repay you I would.
After 12 years iam giving engineering competitive exam and I forgot this basix 😂😂
JEE Mains?
If you want more exercise, I just uploaded a video where I solve such exercises, even a 4x4 determinant! It might help :)
@@DaveyShah CET and mains
Both
your videos have helped me so much. i love the way you do your stuff. thank you!
Excellent! Thank you!! Clear, concise and easy to follow.
why aren't you my lecture? You the best Patrick
MAKE SURE YOU PAY ATTENTION TO SIGN PATTERNS!! He leaves this little detail out, but all matrices start with a positive and alternate from positive to negative for the entire size of the matrix. You can find the determinant by starting in any row or column but make sure the cofactors (the number you multiply by your smaller matrices) have the correct sign! Thanks Patrick! p.s. correct me if I'm wrong but save me the embarrassment :p
Agree , Totally !
Thank you I was having this problem how to manage the sign
THE KING. love your voice, love your mic. you saved my life
thus 2 minute crashcourse helped jog my memory for my hsc boards..these simple tutorials help a lot of students around the world .thankyou
YAY, NOW I CAN FINISH MY HOMEWORK :'D
😊
Thank you so much patrickJMT all of your videos are extremely helpful.
@Akarashl not sure what you mean; i think you are talking about when i find the determinant of each of the resulting 2x2 matrices though
why do we only use the first row?
I think you can use any row, in practice use the row with the most zeros as there's less work to do.
+Nathan Herbertson okie thanks 😁
Correct! It doesn't matter which row or even column you use :)
Just keep in mind the pattern of + and -
+ - +
- + -
+ - +
when do we use the rule A ij = -1 Raised to the power i + j multiply by M ij
I have one example by this rule
Anyone from India 🇮🇳🙂
Yhh
This video is 12 years old and its helping me with my semester exams on Math today
Thanks so much 🙏🏻
Thanks dude. Love your videos and your visual cues
he is left-handed, right?
yes he is. but it doesn't matter.
+Tanisha shah 😂
The explanations that my professor gave and my math lab were useless. After I watched this I finished my homework in less than 10 minutes. Thanks man!
I dunno why, but it always takes me hours to understand it when a lecturer explains it, but if I go on RUclips it takes me 6 minutes 55 seconds to understand the whole concept along with seeing a worked example so I know how to apply it. Thanks for the vid, helps out loads!
Wow, you can never understand the kind of help this video just gave me.More power to your elbow.Thanks
Thanks for your hard work and dedication 💪❤️
Thank you for taking the process step by step and making it intuitive. It helped me a lot.
Hlo bro
THANK YOU! I've got a Vector Calc exam today and this basic concept has puzzled me since the beginning of term. You da man.
Holy moly! Thank you for the video, it literally saved me from a huge headache. :)
@MonikadeVilette glad i could help :)
Thanks bro. Was having an exam hours before and u made matrix look easy thank u so much 😊
i love you patrick, great math, you should be a hand model.
This helps a lot! Thanks for also using an example to instantly apply the new learned math
You make this soo simple! Thanks a lot! your videos are so helpful!
Thank you so much for a wonderful lecture on finding determinants.
My math teacher explains things horribly but you are a life saver. Def earned a new subscriber
why on earth will some people dislike this video thanks PATRICKJMT you av helped me passed my courses from my first year till my third year i love u
THANK YOU! No one has been able to explain this to me like you do!
Man, you are the greatest! You helped me so much with this video and that´s not the first time. Keep up with the good work! Greetings from Vienna/Austria.
Thank you so much for this explanation.. really helps me a lot :)
I came to your channel because I had a problem solving a question in my jamb past question book and this video helped me solve it easily... Thank you so much 🥰
Maybe this app can help you
Android App : Matrix Calculator - Gaussian Elimination - Cramer's Rule
Operation:
1) Solve equation by Matrices
2) Solve equation by Gaussian Elimination
3) Solve equation by Cramer's Rule
4) Inverse matrix
5) Determinant matrix
6) Multiplication matrix
7) Addition matrix
8) Subtraction matrix
9) Transpose matrix
Patrick, thank you so much. I've been trying to figure this out for two days now and NOWHERE have I seen a better and easier to follow explanation than here.
lol the life of a student a decade back haunts me
as such an easy concept was not available on yt back then
Thanks for the help, this was a good review for me and I feel that I am understanding a lot more. Great job explaining!
Neymar left 😪
Thanks, Great informative video. Calmly presented in a thorough manner. Much appreciated!
such simple explanation.made it real easy. thanks
patrick if it werent for you id not have understood anything i did this semester! you the best!
Thank you so much Sir.
It was so complicated, but you made it too easy.
Thanks, dude!! I didn't understand in school. Thanks for such a nice explanation.
You saved me from my assignment, it really help me to solved the problem.
thank you SO much! this makes solving it sooo much easier! i have never thought about using this strategy! the formula itself it so overwhelming but this helps a lot. cannot thank you enough! :)
Great work my man, really straight forward. Thanks a lot
Wow this is such an easy and clear method, thank you for sharing!!! 😃
I have not taking a math class in a year, watching these videos are very nostalgic.
These old videos have helped me more than my teacher.
This video is very simple and easy, thank you so much.
My lecturer sucked at explaining this. But 7 minutes with you and it is beginning to make sense!
Thanks dude, pretty quick explanation! Saved me a lot of time because I need this for some Analytic Geometry stuff.
THIS WAS SO HELPFUL
This so easy that even a preschooler will get it. Weldon sir. You've saved me days of brain racking. I wish professor would just make life as easier as this. You've earned a subscriber
yep, the cross product is written in this form to make it easier to remember.
@patrickJMT
thnks u so much ur a legend. I wish my proffessor could teach the way u teach. With ur videos I understand so much more and fear no exams.
keep on the good work