Diagonalization | Eigenvalues, Eigenvectors with Concept of Diagonalization | Matrices

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This video lecture of Diagonalization | EigenValues, EigenVectors with Concept of Diagonalization | Matrices | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. Diagonalization of Matrix with the help of EigenValues, EigenVectors
2. EigenValues, EigenVectors with Concept of Diagonalization
3. How To Find Eigenspace Or Modal Matrix P ?
4. Diagonalization Of Matrix When Eigenvalues and Distinct with Example.
5. Diagonalization Of Matrix When Eigenvalues and Repeated with Example.
6. This is Part Of Linear Algebra.
#Diagonalization #EigenValuesAndEigenVectors #AlgebraicMultiplicity #GeometricMultiplicity #EigenVectorExample #Matrices #LinearAlgebra #VectorSpace #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.Find Online Solutions Of Diagonalization | EigenValues, EigenVectors with Concept of Diagonalization | Matrices | Short Trick To Find AM and GM | Problems & Concepts by GP Sir (Gajendra Purohit)Do Like & Share this Video with your Friends. If you are watching for the first time then Subscribe to our Channel and stay updated for more videos around Mathematics

Time Stamp
Diagonalization of matrix: Examples
0:00 | An intro
0:14 | Topic introduction
1:26 | Question 1- 2*2 matrix with distinct eigen values
8:10 | Question 2- 3*3 matrix with distinct eigen values
13:54 | Queston 3- 3*3 matrix with repeated eigen values
20:35 | Overview of the concept
22:15 | Conclusion of video

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Dr.Gajendra Purohit
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Thanks for your comment, your appreciation always motivate us to do such kind work.
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Dr.Gajendra Purohit

gajendrapurohit
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Sir I know you want to keep the video short but your aim is to teach not to skip please understand that we sometimes find it difficult to process the explanation because of skipped steps

gorakhnathpandey
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Sir, there is an error in the last example.The last eigen vector formed will not be -1, 1, 0 instead it will be -1, 2, 0 sir

abhisheksinghbhau
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understood the whole concept, thanks alot GP sir. but the questions of this topic are very lengthy especially if the ques is of 3*3 matrix with repeated eigen values .Khair it is what it is. once again thank you so much GP sir for this beautiful and well structured lecture.

yesthif
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i watched 4 hr before end sem
and totally understand matrices

RohitKumar-dygc
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19:07 it is assumed that x2=2k1 but the final eigenvector at 19:33 has x2=k1 which I think is a minor typo.

gchat
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very nice vedio sir. but i think there is a mistake... the eigen vector for lambda 1 should be -2 and 3.. you have written it as 2 and -3... overall your teaching method is very good... keep it up...

basitjamshed
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Sir 19:37 p lamda=-1 k liye jb hm dusri eqn bana re hn jisme x2=2K assume kiya h but fir hmne final eigen vectors likhne k liye usme K common lekr x2=1 kyun likh diya—like vectors to -1, 2, 0 aa jane chahiye the na

bezizoltar
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God gift h sir aap mere liyeee thank you so much sir 🙏 😊 ❤️

pavitrasharma
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Sir superb than previous video because it looks like a v.I.p class and sir aap padhaate to best hi h you are the best teacher sir salute you. By Naruka vikas

narukaji
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You are a good teacher for mathematics

RSharma
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very helpful lecture for our 1st year mtl course at IIT DELHI. thankyou sir, .❤❤❤

Deepesh.Lodhi_IIT-D
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Sir ek doubt tha agar lamda ki value 1, -1, 3 aa gye to wha bhi am gm se jayenge ya fir direct

SatyamSharmabcebgp
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Very nice. Great job.
is method ko kia kehty hy? Sir

lecturesbyhamza
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Sir itne time se apse padha or bhot accha out put mila IIT JAM CLR krna or sb to baad ki baad h linear algebra aapse pdh kr kari jo tha accha smjhaya but adequate ni kraya kuchh theorems ni hai i mean its just 30% of linear algebra complete syllabus please maintain playlist sir

rahulmax
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You are the best teacher in India sir 😍😍😍😍😍😘😘😘😘

pradipmsc
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Sir aap kuch solve karke hi nhi dikhate bas.. Direct ans likh dete ho 😕

khushboojindal
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Sir your videos are too much helpfull.
Lots of Love from PAKISTAN

UsmanFarooq-vbcp
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Sir I have a doubt ....in the book the values of the diagonal matrix are [ 1 0 0
0 -2 0
0 0 3 ]
But when I solve it my values are
[ -2 0 0
0 1 0
0 0 3 ] . Is it okay sir ? Can our values interchange in diagonal?

jagpreetbajwa
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i have a if we write diagonlized matrix directly with eigen vaalues then how to decide which value comes in which row?

anonymousone