Rank Of Matrix | How to find Rank of Matrix | MATRICES | Linear Algebra

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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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Dr.Gajendra Purohit

[RaselAhmed-ixee]

why dont college professors wtach this kind of videos and teach.. college professors just reads the slides and wants the students to be ramanujan!!

[piyush]

Legends Must be watching 1 hour before the exam😂🔥

[neeravchavda]

There is mistake in 6th Example
After The First Transformation third Row Will be
2 1 -3 -6

[superarrow]

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.

[swayampattanaik]

34:20
Sir, in problem 6, you bimistakenly wrote R3 and R1 same while making the transformation

[muhammadarif]

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

[arsalanamin]

@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.

[Chikukizindagi]

kaash colleges ke taechers bhi aesa padhate to humara level kuchh or hi hota thnks guruji😘🤩

[mathew]

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 !!

[apoorvayadav]

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 😁

[gauravsrivastava]

Sir aapki matrix solve krne ki ninja technique bahut badiya hai Matrix ka dar khatm Ho Gaya🤩

[ElephantaNature]

Literally i cross checked myself 4 or more times in problem 6 but there was a little mistake by sir . My confidence level..🤣🤣

[pritamsarkar]

real giga chad teacher....cosmic level of teaching techniques🔥...

[Ishikagoyal]

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 🙏🏻🙏🏻🙏🏻

[bharatkumarprajapati]

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
Namaste !

[arvindprasad]

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 ❤️❤️❤️

[ShivaniSingh-skze]

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, , , 😁

[NitinSingh-lecg]

Sir I think In Problem No 6 There Is a problem The Rank Should Be 3

[PastelandGoth]

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

[deeptibhongade]

Rank nullity theorem explaied in so simple words! Thank you sir!