Rank Of Matrix | How to find Rank of Matrix | MATRICES | Linear Algebra
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- Опубліковано 26 лип 2024
- Short Revision Of Rank Of Matrix - • Rank Of Matrix Short R... (Linear Algebra Quick Revision)
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This video lecture of Rank Of Matrix | How to find Rank of Matrix | MATRICES | Linear Algebra | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. What is Rank & Nullity Of Matrix Of 3x3 and 4x4 Matrix?
2. How to Find Rank Of Matrix By Elementary Transformation & Determinate Concept.
3. Examples Based on Rank Of Matrix.
4. Short Trick To Find Rank Matrix and Nullity Of Matrix.
5. This is part Of Linear Algebra
#RankOFMatrix #Matrices #LinearAlgebra #VectorSpace #LinearTransformation #LinearlyIndependent #Linearlydependent #EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing for NET, GATE and IIT-JAM Aspirants.
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Time Stamp
Rank of matrix-
0:00 | An intro
0:18 | Topic introduction
2:00 | Rank of matrix: Tips & Tricks
6:41 | Invariance of rank through elementary transformations
7:35 | Echelon form of matrix
8:20 | Normal form of matrix
8:48 | Trick to find rank of 3*3 matrix: Problem 1
14:32 | Rank of 3*3 matrix: Problem 2
18:33 | Rank & Nullity of 4*4 matrix: Problem 3
21:23 | Rank of 4*4 matrix: Problem 4
22:57 | Normal form & Rank of matrix: Problem 5
34:01 | Normal form & Rank of matrix: Problem 6
37:24 | Conclusion of video
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Short Revision Of Rank Of Matrix - ua-cam.com/video/FQ4OEPKXs0E/v-deo.html (Linear Algebra Quick Revision)
Sir aapne isme last question galat solved Kiya h
@@ayushgupta6318 bro R3 and R1 are replaced
Sir your teaching is so good. I have not word to tell your admire 👩🏫👩🏫👩🏫👩🏫
@@Md_sadiq_Md bro but after replace sir wrote r3 and r1 both same
Sir Problem 6 is wrong. You did a mistake in interchanging of rows. By the way thanks for guidance sir
Legends Must be watching 1 hour before the exam😂🔥
Nhi but 10 hrs before exam and at 2x
Not legends idiots
Legends nhi chutiya ho tum phir
Absolutely right 😂😂😂
Han Bhai 1 baje exam hai 😂😂main 11.14 main dekh raha hun
There is mistake in 6th Example
After The First Transformation third Row Will be
2 1 -3 -6
Yes and rank of this matrices will 3
@@SonuKumar-ju2ok follow ROBEL BHATIA MATHEMATICS
Hanji
Yes
Yes
why dont college professors wtach this kind of videos and teach.. college professors just reads the slides and wants the students to be ramanujan!!
Bhai apna teachers itni mistake karaga to apan khud nshi phar pa a gs
@@sakshamnayaksakshamnayaksa8723 bhai samjh agya na hme wo kafi h calculation me mistake to hoti hi h
@@sakshamnayaksakshamnayaksa8723 unki age me jaega na to tmhari bi mistake hogi
Maths on slides😂 corona...
Brother phir yeh UA-cam walo ke dukan band ho jaege
sir, last problem's row transformation you should be checked. I think there is a major mistake. But thank you so much for this amazing class. It helps a lot.
O rank 3 hoga kya ?? Jo last wala row
[0 0 0 ] nahi hoga kya ??
Yes he had written row 1 at row 3 place also and didn't interchanged them. But got the concept overall
@@spacepacehut3265 ok thank u for the information
Row trans wrong ho gaya
M bhi yhi bolne wla tha
I m Arif a PhD student from Pakistan Sir you have tremendous experty level in Linear Algebra.
A Legend Man may God bless you with prosperity in every walk of life
Hlo arif sir I am Indian student
My name is Ashish
I study in class 12th
Hlo arif sir I am Indian student
I am Ashish
I study in class 12th
There is actual study also I thought you only have courses like MBBS(MASTERS IN BOMB BLASTING)😂
@@blaze102 😂🤣😂
@@blaze102 oh c'mon grow up
34:20
Sir , in problem 6, you bimistakenly wrote R3 and R1 same while making the transformation
Ys ys
can u plz tell ans you got for correct one rank
@@ujjwalmutneja8055 3
@@beast2808 yes
yess
Sir even though i am in iit but the way you make simple these concepts is just awesome 🙏
Which IIT?
🎧
IIT dikhte hi patani kya ho jata hai
Why do you need to write that you are in IIT
even if you weren't in an IIT , sir would have made these concepts simple
So, there was no need of mentioning IIT in your comment, was it?
When he assured
"Bada easy concept h bacchon"
Half of my stress vanished
It's fun learning from you sir
Thank u for providing such a helpful content sir 😁
In ques 5 when sir apply 5c3-3c2...so 5×33 should also be done na
@@tanishkamehra1652 yeah true
Did you do it yourself?
kaash colleges ke taechers bhi aesa padhate to humara level kuchh or hi hota thnks guruji😘🤩
Thanks for your comment, your appreciation always motivate us to do such kind work.
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Dr.Gajendra Purohit
Thank you so much sir ❤️❤️,
Sir please reduce your speed of teaching slightly.
Sir aap to gajab ho
Problem 5 is -17 but you 17
@@action8445 follow ROBEL BHATIA MATHEMATICS
Glad to see a teacher who helps us get stress free . thanks teacher
Thank you so much sir for uploading this video💫pehli baar transformation samj mein aaya .🙌
Very nicely explained this topic and easy to understand in online mode,Thank u sir
Rank nullity theorem explaied in so simple words! Thank you sir!
Hello deepti
Rank nullity theorem vahi hoti h kyy matrix m zero rows = nullity of matrix??
@@devmaan6642 number of zero row.
Night before exam, and even in general for understanding concepts, your videos are so helpful sir, so thankful to you for explaining so well. Your videos make understanding concepts interesting
😘😘😘😘
Op
Sir aapki matrix solve krne ki ninja technique bahut badiya hai Matrix ka dar khatm Ho Gaya🤩
Matrix se kaun darta hai bhai
Yes absolutely correct bro.. ❤️
Matrix ka dar 😅🙄
Matrix be like: me itna darawna hu😜😂
Literally i cross checked myself 4 or more times in problem 6 but there was a little mistake by sir . My confidence level..🤣🤣
you are right
In problem number 5 also i found a mistake that after transforming C3 > 5C3 - 3C2 & C4 > 5C4 - 7C2. 33 will change into 165 & 22 will change into 110. Sir just recheck this step once !!
@@mathew5303 yea true
@@mathew5303 yess bro you are right there is mistake in that last step
I am finding mistake in problem 2
there is a mistake in last question. but somehow you taught me so well that i am now able to check these questions....
Nice video sir......
Namaste !
real giga chad teacher....cosmic level of teaching techniques🔥...
Hey in exam for a matrix two students got two different rank of matrix 1 got rank=2 and another one got rank=3 (for a 4×4 matrix) so are they both deserve for mark?
I think this is the simplest explanation with ample examples to understand the concept of rank
Sir in problem number 5 i have doubt that after transforming C3 > 5C3 - 3C2 & C4 > 5C4 - 7C2.
33 will change into 165 & 22 will change into 110. Sir just recheck this step once !!
ur right bro
sir has applied operations on only targeted ones and has fogotten the rest
Mine also same came ..might be Sir hasn't paid attention there
Yes u are right 👍👍
👍
Sir you are the best ever teacher who explain this topic in very easy method.
Thank you so much
😊😊
Thanks you so much sir for explaining in easy way ❤️
Good evening sir , sir 5 problem mai apne column transformation mai glt Kiya thoda sa C3 and C4 time 33 ki jagah 165 and 22 ki jagah 110 ana tha and and 6th problem mai R3 Galt likhi a 1,1,1,2 di jagah 2,1,-3,-6 ana c, Baki sab baut bdia tha apki videos baut achi hoti hai aur study mai baut help krti hai , Thnku sir 🙏🏻🙏🏻🙏🏻
iski fir rank 3 ahh rhi hai na last question ki ?/
Sir , u r the best for everyone when compared to our college professors......i am learning everything by just seeing your video once 🥰🥰🥰🥰
Sir your videos are really very helpful and your way of teaching is so much appreciable.
I think this is a minor mistake by sir
Bcz we interchange the R3 - R1
[1 1 1 2
3 -3 1 2
2 1 -3 -6] this matrix is 4×3
By the previous proeces it's rank is three (3)
Yes
yeah it is
Heck yeah
Yes
Yes
Sir really Appreciatable video, thank you sir❤❤🙏🙏🙏💯
Here mistake in 1st problem , at last transformation is C2 changing to C2 /2 then it becomes 1 on 2nd row. Thanks you so much sir ❤️❤️❤️
Yes!
No
It should be C2--->C2+C3
@@nayanasalaliya5253 After doing C3->2C3+C2 we have to do C2->C2/2
@@binayakbishnu is there any property where we can simply divide with a scalar?
@@Englishwithtanya12 yes...example: C2-->C2/4 is valid
Teaching is an art. We should respect this type of teacher .🙏🙏🙏🙏🙏
Thank you sir, your all video is very beneficial for all students
Love u sir,,I love the way when u said,, students trick sikhaunga turant kei turant ho jaega,,,,tb mujhe lagta hai ,,there is someone outside who really cares for me,,u r the boon for me,,and for many students,,,,Mai apse sei study karne kei baad apne monoclonal depression ko bhool jati hu ,😭, thank u sir,,,😁
Keya baat hai
In college i don't understand anything of matrix but after watching this video i understand full matrices Thanks a lot sir
Hey in exam for a matrix two students got two different rank of matrix 1 got rank=2 and another one got rank=3 (for a 4×4 matrix) so are they both deserve for mark?
you taught me pretty basic...Jazakallahu Khairan.......
sir excellent content delivery , fundamentals are beautifully approached
Thank you sir linear algebra is a very nice topic,
Thanks a lot sir.
Bless me that i stay on the path,and no external force make me deflected.
Thank u so much sir .This video is very help full for me.💐
Very well explained, Thankyou!
anytime I am in problem 9/10 times your videos are spot on... thank you sir
No
@Dr.Gajendra Purohit, I really appreciate your videos, as they are very awesome & helpful in true learning of the concepts.
Below mentioned are some mistakes in this video, for your reference.
1) At 14:24 (in Problem # 1), the final matrix is still NOT EQUAL to normal form, because it still has "2" at the position, second row and second column (central value). We have to do one last step of (C2/2) to get the required Normal Form
2) At 34:29 (in Problem # 6), the row exchange between R1 and R3, is not correct, as R1 is over-written (replaced) by R3, so R3 is repeated and R1 is gone, hence the solution for this problem is wrong
Regards.
Thank u for writing this comment, I was searching for the same thing.
Thankyou so much sir aapke videos dekhne ke baad hum confident ho jate hai
Thank you so much sirr
Aapko hazaro baar thank you bolungi fir bhi kam hai sure☺️☺️
Your videos are quite helpful sir. There is a mistake in last problem. So cAn u comment here telling about 3x4 matrix. how many 0s do we have to make for the rank. If anybody else can help
plz comment
Didi yaha non zero row nahi banegi koi bhi so rank 3 aayega . Aap sahi se row echelon form karoge to pata chalega ki non zero row 0 he.
@@milanshah104 to matlab wo matrix ki normal form me convert karna impossible hai?
Thanku so much sir. its really helpful video for us. Your language with way of teaching is really appriciable. Again Thanks.
@@tons143..7 follow ROBEL BHATIA MATHEMATICS
Exactly 👍👍👍😌
Can you please tell me why |A|=0 and |m| is not equal to 0 at 22.37
Your teaching is always top notch sir...thank you is a small word!
But sir thank you so much #
Phenomenal way of teaching,
I have totally goted concept of rank ❤️
Kindly upload the decomposition of matrix
Thank u sir....great teacher I have ever seen
tq sir for this lecture but i have one doubt
can we use both row and column transformation simultaneously in one matrix/problem? please reply
Sir isi tarah video banate rahiye
Thank you ☺️❤️
Sir in last transformation may I transform the row r2~r2/5 and r3~r3/33
sir in the last example as uh said we have to do R1 interchange with R3 then why dont R3 was change it still remains same ..!! do check nd please reply.!!! by the way your vedios helped me a lot..!!
Radhe Radhe..!!
its simple mistake, let it go, he already cleared our doubts.
Sir today i have exam and your lesson is very helpful for me
Great job sir
Thank you sir u are a great teacher 🙂😁
Sir ..in problem no. 5 the normal form of the matrix ,column 3 of 2nd row is 33 yaa 165??
165 it is
Sir I think In Problem No 6 There Is a problem The Rank Should Be 3
Thank you so much sir for this video.......🙏🙏🙏
Thank uu much sir... it's Very easy explanation.. 👍🏻😊
32:09 pe 3rd column mein 33 kaise aaya wo bhi to 5 se multiply hoga
Shi pakda bhai
Yes it become 165 and same for 22 ....
Sir please check the 5th problem, (normal form )
Hey in exam for a matrix two students got two different rank of matrix 1 got rank=2 and another one got rank=3 (for a 4×4 matrix) so are they both deserve for mark?
Sir, please make a playlist on newly made videos of matrices(Linear Algebra).
Thanks Sir. Easy way to understand.
Can you help me solve the below question. What would be the approach to find the rank.
Show experimentally that the nxn matrix A = [ajk] where [ajk] = j+k-1 has rank 2 for any n
Thanks sir 🙏🙏
Hey in exam for a matrix two students got two different rank of matrix 1 got rank=2 and another one got rank=3 (for a 4×4 matrix) so are they both deserve for mark?
Sher ko exam se dar lagne lga he😅
same bhai 😔 kab hai exam tumhara
Thanku sir ji
Sir is video me aapne bahut Jagah par galat galat likh diye hai phir bhi aap accha padhate hai sir I am happy with you. You are best teacher
Sir computer programming padhaye🙏🏽🙏🏽🙏🏽
You made the concept so easy to understand sir thnx alot.
Thankyou so much sir for teaching us and giving this level of knowledge just free ❤❤
Thank you so much, very helpful
15:05 simple hai bhai rajasthan tone 😎😎😎
sir how to find determinant of 4*4 matrix by expansion along row or column.please
Came here just to confirm what I knew. Very helpful thanks
Thanks a lot sir 🙏
Apki is video ne mere matrix ki soch hi badal di☺☺
Bhai I am preparing for Punjab master cadre ..
Watched your video on group ... Ring theory ... You are awesome 😎🙏
Transform krkr ek row ko 0 to bna diye but rank 2 kaise Ho gyi,
Kaise pta chlega ki rank kitni aayi??
See first video
Thank you so much Sir.... Your way of teaching is best..
problem 6 me , rank= 3 and normal form = [I3 0] aa rha hai. sir
One month before the exam
One day before exam😁
Me to
Mistake in ex-6
and ex-5 also...
Thanks 🙏🙏sir you have great teaching methods every student want teacher like you .
Kash hamare clg teacher ese hi kuch hum ko bata dete toh mein apaki video channel PE na ata , thanks to my teacher 🙏😂
The explaination was very very good. But i want to say that there are so many mistakes while you were doing the examples.....THANK YOU
Dhang se padha de
😂😂😂
Shaandaar video sir
Sir your lectures really help us alot🤩
Hi sir 🙏.
I think you did a mistake in last problem.
And sir it's my request you do more and more questions regarding this topic with special tools and tricks.
Thank you.
Sir machine ki traah lge pde ho
😂😂
😢🎉😂😂😂😂
Bhu bhut he bdiya sir.. ye rabk niklna to ssbse difclt lgta tha abi to esaliy solve kr skte h
Sir can we get any application problems on rank of a matrix
34:28 please check thoda mistake h aage 10 sec baad
Actual topic starts from 02:23 save your time thank me later
Thank you so much for providing this such a good concept clear Funda of a rank Matrix
A lot of thanks to my dear Sir ji
Haldi Wale attendance lagao
Aapke way of teaching ne to mera dil hi jeet liya❤❤❤❤❤
Samjh nhi aata Kitni baar thanks bolu
thanks sir i understood rank of matrix in easy way
How he explained means we feel the tough concepts is a very easy .. 🙏