Diagonalization of matrices 3x3 | How to diagonalise the matrix with example | Linear algebra

Welcome to this video, Diagonalization of matrices 3x3 | How to diagonalize the matrix with example | Linear algebra. This video entitled "Diagonalization of matrices 3x3 | How to diagonalize the matrix with example | Linear algebra" is showing how to find eigen values and eigen vectors in very easy manner.

This video contains "Diagonalization of matrices 3x3 | How to diagonalize the matrix with example | Linear algebra". This series of videos provides an illustration of so many example questions with their working rule.

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In this video, Diagonalization of matrices 3x3 | How to diagonalize the matrix with example | Linear algebra, You will find

00:00 Introduction

Matrices playlist contains the following topics: Rank of a Matrix, Solution of Simultaneous Linear Equations by Elementary Transformation, Consistency of system of homogeneous and non homogeneous equations, Eigen Values and Eigen, Vectors, Diagonalization of Matrices, Cayley-Hamilton theorem and its applications to find the inverse.

This topic is very important for the students of class 12th, B.Sc, B.Tech., BBA, B.Com., B.Pharma, Diploma etc.
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Eigen value eigen vector,
Eigenvalues and eigenvectors,
Eigen value eigen vector 2X2,
Eigen value eigen vector 3X3,
How to find eigenvalues and eigenvectors,
How to find eigen values and eigen vectors 3X3,
How to find eigenvalues and eigenvectors 2X2,
Eigen values and eigen vectors of the matrix,
Eigen values and eigen vectors playlist,
characteristic equation of a matrix,
characteristic equation of a matrix 2X2,
characteristic equation of a matrix 3X3,
characteristic equation of a matrix examples
characteristic equation of a matrix problems
characteristic polynomial of a matrix
characteristic polynomial of a matrix formula
characteristic polynomial of a matrix 2X2
characteristic polynomial of a matrix 3X3
characteristic polynomial of a matrix examples
characteristic polynomial of a matrix problems
characteristic polynomial of a matrix
characteristic equation of a matrix formula

This video lecture on Diagonalization | EigenValues, EigenVectors with Concept of Diagonalization | Matrices | Problems & Concepts 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.

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[tf_games]

Shoutout to everyone watching this video a night to test or exams

[miang]

Thank you maam for explaning the quick way technique of getting eigen vector 🥰

[mjknbwy]

I have always struggled to find eigen vectors for eigen values. this method is so simple and easy. Thankyou for this video. please make a video to find out eigen vectors for degenerate eigen values.

[navinkumarsureshsidam]

Today my exam is there and I am watching this video 1 hour before the exam, , thank u for explaining this ma'am 🙏🙏

[vanshchopra]

At 7:41 there is a error according to me, eigen vectors must be -11, -1, 14

[Studyforlife]

Watching this 2 hours before the exams!🙃

[Krishna_bkti]

बहुत- बहुत धन्यवाद, ऐसे आसानी से समझाने के लिए 🙏🏻🚩🚩

[NitinChoudhary-bycs]

Thanx mam your explanation was to simple to understand

[MeinHoonSyedAli]

What if we select first 2 equations instead of last 2 when finding basis for lambda=1? (I got 2, -2, -2 on cross multiplying first 2 equations)

[Rohit_Raut]

very nice explanation mam, i understood very clearly 🥰

[danishsafdar]

Mam at characteristic equation the signs are different when calculated like -y3 +2y2+5y-6

[fatr]

what if we exchange the eigenvalues, exp:if instead of λ1 we get λ2 and vice versa, will the diagonalizing matrix D change for us at the end of the exercise? or is there any rule how to list lambda?

[bankingaspirant]

Ma'am i have one question when roots are not real or not find only one find and remaining two not find then what to do?

[inshorttalks]

What an explanation I loved your video

[syedrazihussain]

Maam can you tell me what is the purpose of diagonal matrix....What are Applications of diagonal matrix in real life??

[splatpixel]

skimming this video at 2x speed without audio taught me more than my 225 prof managed to all semester 👍

[kishore]

Mam my matrix is

[ 1 3 3
-3 -5 -3
3 3 1 ]

I got Eigen values 1, -2, -2

When I'm trying to find Eigen vector for -2

Im getting

3x + 3y + 3z = 0
-3x - 3y - 3z = 0
3x + 3y + 3z = 0

Final Eigen vector im getting
[ 0
0
0 ]

Is it correct ?

[dhruvkhatri]

Mam ismain diagonal matrix 1, -2, 3 ka rhi hai hum isko -2, 1, 3 nhi likh skte hai ascending order main plz reply

[shrawansinghsisodiya]

I have a doubt that is when you Write D=p^-1.A.P so this equation you can catting the P and p^-1 but you not cutting this why ?

[shamshadhs]

Mam I'm getting character equation -lambda^3 + 2lambda^2 + 5 lambda -2 =0