Linear Algebra 3: Eigenvalues and Eigenvectors (English)

   Wednesday, December 09, 2020   

Starting a new Lecture Notes Series on Linear Algebra 3: Eigenvalues and Eigenvectors

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Channel Name: Michel van Biezen

Faculty Name: Michel van Biezen Sir

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Linear Algebra 3: Eigenvalues and Eigenvectors
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Lecture Description of this above Topic:

Lecture 1: What Are Eigenvalues? (Part 1)

Lecture 2: What Are Eigenvalues? (Part 2)

Lecture 3: What Are Eigenvalues? (Example 1)

Lecture 4: What Are Eigenvalues? (Example 2)

Lecture 5: What is an Eigenvector?

Lecture 6: How to Find the Eigenvector

Lecture 7: Given the Eigenvector, Eigenvalues=?

Lecture 8: Eigenvector=? of a 3x3 Matrix

Lecture 9: Bases and Eigenvalues: 1

Lecture 10: Bases and Eigenvalues: 2

Lecture 11: Basis=? for a 2x2 Matrix

Lecture 12: Basis=? for a 3x3 Matrix: Ex. 1

Lecture 13: Basis=? for a 3x3 Matrix: Ex. 2

Lecture 14: Basis=? for a 2x2 Matrix

Lecture 15: Basis=? for a 3x3 Matrix: 1/3

Lecture 16: Basis=? for a 3x3 Matrix: 2/3

Lecture 17: Lin. Indep.? for a 3x3 Matrix: 3/3

Lecture 18: Checking Eigenvectors

Lecture 19: Eigenvectors=? Approx. Method: 1

Lecture 20: Eigenvectors=? Approx. Method: 2

Lecture 21: Find the Dominant Eigenvectors=?

Lecture 22: Given Eigenvalue, Find Eigenvector=?

Lecture 23: The Power Method with Scaling

Lecture 24: The Power Method with Scaling

Lecture 25: Diagonalization (Part 1/3)

Lecture 26: Diagonalization (Part 2/3)

Lecture 27: Diagonalization (Part 3/3)

Lecture 28: Power Method A^2

Lecture 29: Power Method A^3

Lecture 30: Power Method A^n, A^5

Lecture 31: Power Method A^n, General Eqn.***