Eigenvalues and Eigenvectors | Properties and Important Result | Matrices

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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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[gajendrapurohit]

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[mettlebeing]

These are really helpful but sir please organise the playlist

[manushgiri]

Thank you so much sir...u r a hero to engineering students

[sankhamitra]

Thank you sir for uploading this topic... Spectacular elaboration as usual

[kavitajagalpure]

Sir I am student at IIT Hyderabad mechanical engineering in 1st year.
I am having linear algebra course.
Your vdos are more easy to understand than my professor.
Thank you so much for your beautiful explanation.🙏🙏🙏🙏

[Englight]

Thank you sir, without this video it was so hard to understand the concepts in colleges😌😁

[VikkuGoyal]

It is truly incredible explanation sir.

[onlycoding]

Sir your teaching style and explaination is excellence

[Ghanshyam]

Pranaam sir, 👏👏👏👏 sir bsc ke course pe work karne ke liye thankyou very much.

[nileshdhal]

sir you r so talented ur way to explain every question is just amazing why r u in youtube plz sir u came our university as a teacher

[MukeshYadav-vbbw]

Thank you sir because this video is very helpful for me.

[sandeshaithal]

As always very good content and teaching

[MukeshJanwatitaniumeducation]

Spectacular as usual
It's a great help for students

[pravatkusumraul]

SIR YOU ARE TEACHING BEAUTIFULLY. bUT AS A TEACHER I CAN FELL YOU ARE HAVING STRESS.PLEASE TAKE REST THEN CONTINUE

[iitjefheodkedjdkdkdkdksksk]

Sir, your lectures are goldmine even after 4 years. Thanks alot sir for these wonderful organised playlists.

[yogithapusarla]

Thank u soo...much sir for making us to understanding concepts very easily..

[mahwishiftkhar]

Really very helpful thnq so much sir...!!

[shahinulshakib]

Greetings Sir, Can you please provide the lecture notes?

[beautifuluttarakhand]

आपके द्वारा पढ़ाया गया बहुत ही अच्छे से समझ में आता है सर

[arpitasingh]

Thanku so much sir 🙏🙏
Apse achi maths to koi pdha hi nhi skta h ap pdhate h, ek baar me sb smjh aa jata h 🤗🤗🤗🙏🙏