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Quick determinant trick 

Dr Peyam
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Here is a useful trick that will save you a lot of time when calculating determinants! It only works for 3x3 matrices though, but still pretty neat! Enjoy this beautiful linear algebra adventure
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5 сен 2024

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Комментарии : 122   
@AnkitSharma-ef7md
@AnkitSharma-ef7md 3 года назад
I just love the way professor drops his marker at the end proving that he is the boss. It is a nice rule to calculate determinant. Professor, I guess it is called "Sarrus Rule". Please correct me.
@floccinaucinihilipilificat6749
i prefer to call it the "rule of sarrus" cause that makes it sound like a wizard spell
@salmazubair
@salmazubair 2 месяца назад
Does it work on any matrix 4*4, 5*5 ?
@kormosmate2
@kormosmate2 3 года назад
A fascinating thing about this method, is than you can "use" all sides of the matrix. Meaning you can copy the last two columns to the left side of the matrix, and here's the punch line, you can even copy the respective rows to above or below the matrix, and make similar diagonals. It will yield the same result!
@f3ynman44
@f3ynman44 3 года назад
Cool, thanks!
@bsmith6276
@bsmith6276 3 года назад
This is precisely the method taught to me when I was first introduced to determinants in my high school algebra class.
@visitor--
@visitor-- 4 месяца назад
I'm so happy this professor still replying to others comments,nice trick i was looking for a short-cut to find the determinant of 3×3,thanks sir it helps me a lot
@jaikumar848
@jaikumar848 3 года назад
Dr payam! Any shortcut to find inverse of matrix?
@thomasthedankengine5400
@thomasthedankengine5400 3 года назад
The best method I've found has been Montante's method. It is in my opinion faster than any other.
@adityadwivedi4412
@adityadwivedi4412 3 года назад
Adjoint is the fastest acc to me
@pinklady7184
@pinklady7184 3 года назад
jaikumar848 I was hoping that too.
@youkaihenge5892
@youkaihenge5892 3 года назад
For any square matrix just set it up as A = [v1,...,vn | I ] and do Guassian Elimination until you arrive at A^-1 = [ I | v1,...,vn]. Where I= identity matrix of the particular n×n size that is being inversed. Check the determinant 1st or else your doing useless computations!
@MRdg005
@MRdg005 Год назад
See Nishant vora sir video... He has given one step trick to find inverse
@user-kq1xx1lm5j
@user-kq1xx1lm5j 9 месяцев назад
You need more subs. As a Rutgers student taking lin alg this is a life saver ty. I hope this comment can make your day. I know video is old but the thing about math is that new students are born every day.
@drpeyam
@drpeyam 9 месяцев назад
Thank you so much!! It really means a lot to me 😁 I almost went to rutgers to teach actually!
@antflam7473
@antflam7473 10 месяцев назад
I know this vid is 2 years old but dude. Literally awesome. Saved so much time when I just needed a quick refresher on how to do the problem. I went to organic chemistry tutor; he literally did something way more complex than what we did in class (he still isn't bad though) GG im dropping a sub
@drpeyam
@drpeyam 10 месяцев назад
Thank you!!!
@optimisticallydead8819
@optimisticallydead8819 4 месяца назад
You are a life saver🤧❤
@JustAaryeah23
@JustAaryeah23 Год назад
THE PEN DROP WAS SO SATISFYING ......LIKE U NAILED IT
@Jaojao_puzzlesolver
@Jaojao_puzzlesolver 3 года назад
How I finish my math test with *style* 1:11
@alfiealfie35
@alfiealfie35 3 года назад
*pen drop*
@vivovivi5703
@vivovivi5703 3 года назад
It's sarrus method isn't it?
@Apollorion
@Apollorion 3 года назад
Yes but no: it is not the case that it isn't sarrus method because it is the Rule of Sarrus aka Sarrus's rule aka Sarrus' rule.
@adarshabasnet2491
@adarshabasnet2491 3 года назад
@@Apollorion what? Its the same thing.
@popkornking
@popkornking 3 года назад
He's just memeing
@otaku8783
@otaku8783 9 месяцев назад
I learned a new way to solve determinant
@amosbanda9637
@amosbanda9637 3 месяца назад
I love the ending 😂😂😂
@prasadmarathe7332
@prasadmarathe7332 6 месяцев назад
Thanks a lot sir the trick is so helpful ❤😊
@drpeyam
@drpeyam 6 месяцев назад
Most welcome 😊
@Tharun-wk6rj
@Tharun-wk6rj 8 месяцев назад
This is the smartest golden retriever ive ever seen
@justrandom072
@justrandom072 2 месяца назад
you just saved me a lot of time thank you man 😁
@robsbackyardastrophotograp8885
@robsbackyardastrophotograp8885 3 года назад
Good stuff- I love the two column method! Looking fresh in the new channel pic :)
@jamesjohn2537
@jamesjohn2537 3 года назад
Supper easy method! Thanks a lots
@sharpnova2
@sharpnova2 3 года назад
technically this method uses more multiplication operations than the regular way. (if I'm not figuring incorrectly, it uses 12 multiplications and 5 additions and the regular way uses 6 multiplications and 5 additions.. but the sign flips across the sub determinants probably count as multiplications as well so the two methods are hard to compare) but it very beautifully illustrates the wrap-around symmetry of matrices. you could append columns on the left or rows above and below and it would work as well very nice
@pinklady7184
@pinklady7184 3 года назад
Inverse of matrix next, pretty please.
@orangeinfotainment620
@orangeinfotainment620 2 месяца назад
thank you man!
@Brixxter
@Brixxter 3 года назад
A shame this doesn't work for R^4 and above
@spaceandtimescience6080
@spaceandtimescience6080 3 года назад
Make a video on polar conatruction or geometric bundles
@pinklady7184
@pinklady7184 3 года назад
Great method! 😍😍😍 I have just created a *bookmark* with your problem & solution and slipped that inside a thick calculus book.
@houseflyer4014
@houseflyer4014 3 года назад
My friends say i draw my matrix brackets weird. Nice to know someone qualified uses the same ones as I do.
@Kdd160
@Kdd160 3 года назад
Well, isn’t it the sarrus rule??
@shahzebAli2001
@shahzebAli2001 24 дня назад
😂 Just loved your actions ❤
@mike_the_tutor1166
@mike_the_tutor1166 3 года назад
Pen drop is the new QED. Change my mind.
@umerfarooq4831
@umerfarooq4831 3 года назад
I needed this thanks so much I'm constantly looking for videos which make functions easier "sweet 16"
@kamlesh25kr
@kamlesh25kr 3 года назад
Sir you are just amazing, thanks for great tricks.
@ntandoyenkosizungu7011
@ntandoyenkosizungu7011 23 дня назад
Thank You🔥🔥🔥🔥🔥🔥
@kachidawarrior5232
@kachidawarrior5232 Месяц назад
does this trick work for the 4 x4 matrix too??
@Motishay
@Motishay 6 месяцев назад
Holy shit THANK YOU
@tomoki-v6o
@tomoki-v6o 3 года назад
Regle de Sarus !
@mistadude
@mistadude 9 месяцев назад
why doesn't this work on 4x4 matrix
@Akihikoo_
@Akihikoo_ 3 года назад
Thanks!
@ezu8501
@ezu8501 Год назад
my man
@AlexGreeneHypnotist
@AlexGreeneHypnotist 3 года назад
There'll be an extra helping of sacrificial grain at the altar of Hypatia, Leibniz and Gauss tonight. Why couldn't they have taught us this at school when I were a lad?
@PeterBarnes2
@PeterBarnes2 3 года назад
They did kind of. The standard method is exactly the same but with no intuition for the nice symmetries of it with all the parallel diagonals and anti-diagonals, because the standard method just doesn't illustrate how the columns wrap around (demonstrated here by drawing copies of the columns). There is a problem, though, because 4x4 and larger matrices include products which aren't over straight lines, diagonal or anti-diagonal.
@Brien831
@Brien831 3 года назад
@@PeterBarnes2 lets be honest here, anyone past the first semester at university never calculates a determinant by hand anyways. Except for 2 by 2 matrices and other simple cases.
@PeterBarnes2
@PeterBarnes2 3 года назад
@@Brien831 I'm in community college still, but I'll go along with that, sure.
@AwaisAli21m
@AwaisAli21m 2 года назад
Thank you very much 😘
@trickypediaajoychetry
@trickypediaajoychetry 3 года назад
Its a trick which consumes more time than actual method❤
@sfarsi6
@sfarsi6 3 года назад
-5*-2 isn't 10 ?
@user-oi8bu3gm8y
@user-oi8bu3gm8y 3 года назад
There's one more -1, so finally -10
@sfarsi6
@sfarsi6 3 года назад
@@user-oi8bu3gm8y I didn't see that minus
@AlfonsoNeilJimenezCasallas
@AlfonsoNeilJimenezCasallas 3 года назад
Genius!
@rohunse5555
@rohunse5555 3 года назад
Nice
@mohamedallouche5873
@mohamedallouche5873 2 месяца назад
did i just learn this in my last year of college ? OMG my method was way harderrrrrrr
@abishithjoy
@abishithjoy Год назад
Dr payam sir........ You are as God to me Thank God This is a big ticket to pass the 12th exam 🙏🏻🙏🏻🙏🏻🙏🏻
@charleyfeng2054
@charleyfeng2054 3 года назад
Isn't this just the permutation definition of the determinant, from which the commonly used method is derived from?
@azhar07464
@azhar07464 3 года назад
Wow. Didn't know about that.
@PositronQ
@PositronQ 3 года назад
Good trick
@matteovetri
@matteovetri 3 года назад
TyrannoSarrus rex 🦖
@manjumanl5279
@manjumanl5279 3 года назад
I just created a playlist called shortmathculc ,next video is how to calculate the inverse of a Matrix.
@NaodWedi
@NaodWedi 6 месяцев назад
Thanks bro i am tired to find it😮😮😮😮
@thinkjin
@thinkjin Год назад
U r legend
@halfmillion9057
@halfmillion9057 9 месяцев назад
how to use it on 4*4? need a quick help
@anaskhalid2862
@anaskhalid2862 4 месяца назад
Can I use this method in exams. If the questions says "Find the determinant without expanstion (by using properties)."
@drpeyam
@drpeyam 4 месяца назад
Sadly not
@cancer101thefundamentalsof4
@cancer101thefundamentalsof4 3 года назад
Peyam's maid: "What the f%$# are all these marks on the floor all the time?"
@qubit01
@qubit01 3 года назад
die gute alte jägerzaun-regel
@raba2d723
@raba2d723 2 дня назад
speak english
@harshchikorde9495
@harshchikorde9495 3 года назад
Awesome
@psjt9230
@psjt9230 3 года назад
Great 👍👍
@himanshucj261
@himanshucj261 6 месяцев назад
How will I apply in 4×4 matrix
@drpeyam
@drpeyam 6 месяцев назад
It doesn’t apply, unfortunately
@yabaliyu3418
@yabaliyu3418 7 месяцев назад
Yes we believe it -10
@hsjkdsgd
@hsjkdsgd 3 года назад
You're gonna damage the tip of marker pen doing that stunt in the end😀
@sreelekshmisaji1043
@sreelekshmisaji1043 Месяц назад
I luvvv itt❤❤❤
@Potatoedits17
@Potatoedits17 Год назад
That's fcking Sarrus rule, dammit
@sonusaini-nm9xc
@sonusaini-nm9xc 3 года назад
Wow
@dr.rahulgupta7573
@dr.rahulgupta7573 3 года назад
Sir Is this method a Sarrus method ? DrRahul Rohtak Haryana India
@adityadwivedi4412
@adityadwivedi4412 3 года назад
I thinkyou are teaching linear algebra this semester
@drpeyam
@drpeyam 3 года назад
No, why?
@adityadwivedi4412
@adityadwivedi4412 3 года назад
@@drpeyam just guessing
@negativespace5035
@negativespace5035 3 года назад
nice sir
@abhisekpanda5165
@abhisekpanda5165 Месяц назад
Rank = 58 or 19 ?
@alfiealfie35
@alfiealfie35 3 года назад
Is this generalisable to higher dimensions?
@drpeyam
@drpeyam 3 года назад
Sadly not
@MokshagnaGoudK
@MokshagnaGoudK Месяц назад
@adwans1491
@adwans1491 3 года назад
You believe -5 x -2 is -10 ?
@drpeyam
@drpeyam 3 года назад
You forgot about the extra -1
@benque7491
@benque7491 6 месяцев назад
lmao my teacher taught this on our regular class already
@drpeyam
@drpeyam 6 месяцев назад
Good for you?
@user-re4be4zr1t
@user-re4be4zr1t 3 года назад
Cool
@rui_i139
@rui_i139 3 года назад
Sarruss
@SahilTrumboo
@SahilTrumboo 3 года назад
Who knows the trick already 👇👇👇
@pawankumar-hk5fn
@pawankumar-hk5fn 3 года назад
Exactly same while writing ROW NUMBER ALONG WITH
@yashnachugh6910
@yashnachugh6910 5 месяцев назад
Mane bera tha
@pawankumar-hk5fn
@pawankumar-hk5fn 3 года назад
I already used this .. before
@Cs_aadda
@Cs_aadda 4 месяца назад
OMG UNBILIVABALE
@Cs_aadda
@Cs_aadda 3 месяца назад
hello sir can plaese make eigen vector shotcut trick because my exam is coming plese ASAP. I AM ALREDY CHECK IN PLAYLIST BUT NOT AVAILABLE
@jfcrow1
@jfcrow1 3 года назад
Trick yes. But is it computationally more efficient. No
@juma21347
@juma21347 3 года назад
How is that any better than Sarrus? You are literally doing the same operations plus you have to write the extra lines
@bprpfast
@bprpfast 3 года назад
Next time, drop your phone at the end of the video
@AsianSquatsandEats
@AsianSquatsandEats Год назад
goat!
@physjim
@physjim 3 года назад
ok, but why?
@wduandy
@wduandy 3 года назад
Laplace >>>> Sarrus
@tgx3529
@tgx3529 3 года назад
This is any trick. This is a rule os Sarrus
@jeremycai5870
@jeremycai5870 3 года назад
Lol I've seen this method from a manga...
@lenamaral6055
@lenamaral6055 3 года назад
I always preferred the method of triangles over Sarrus' rule. 😉
@titirshachakravarty9522
@titirshachakravarty9522 Месяц назад
Pen drop
@ravizsz
@ravizsz Год назад
Answer isn't coming
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