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This video lecture of Eigenvalues and Eigenvectors | Properties and Important Result | Matrices | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. What is Eigenvalues and Eigenvectors ?
2.How to find Eigenvalues and Eigenvectors Of Matrices ?
3. Important Results and Properties Of Eigenvalues and Eigenvectors
4. Short Trick To Find Eigenvalues and Eigenvectors Of Matrices.
5. Proof of Theorem sum of eigenvalues equals trace and Product of eigenvalues is Determinante.
6. Concepts of Algebraic Multiplicity and Geometric Multiplicity.
7. This is part Of Linear Algebra
#Eigenvalues #Eigenvectors #Properties #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
Eigen values and Eigen vectors
0:00 | An intro
0:18 | Topic introduction
1:12 | Eigen value: Definition
5:08 | Note- Eigen vector: Definition & Example
10:14 | Other Key points
12:17 | Algebraic multiplicity
13:44 | Geometric multiplicity
14:34 | Properties of eigen values & eigen vectors
17:53 | Theorem: Product of eigen value=determinant & Sum of eigen value=trace
22:06 | Question 1
23:25 | Conclusion of video
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