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Repeated Eigenvalues (Case 2!)

Here's a follow-up to the repeated eigenvalues video that I made years ago. This eigenvalue problem doesn't have a full set of eigenvectors (which is sometimes called deficient), so we need to find a generalized eigenvector to get our general solution to the system of DEs. I hope it helps!!

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Diagonalizing a matrix with repeated eigenvalues
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Diagonalizing a matrix with repeated eigenvalues

Repeated Eigenvalues
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Repeated Eigenvalues

3 x  3 eigenvalues and eigenvectors
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3 x 3 eigenvalues and eigenvectors

Repeated eigenvalues
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Repeated eigenvalues

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21. Eigenvalues and Eigenvectors

Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra
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Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

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4.7 Repeated Eigenvalues Case 1

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Eigenvalues and Eigenvectors

Why Aliens Would NEVER Invade Africa
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Why Aliens Would NEVER Invade Africa

Medical White Molecular Background video | Footage | Screensaver
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Medical White Molecular Background video | Footage | Screensaver

Linear Systems: Complex Roots | MIT 18.03SC Differential Equations, Fall 2011
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Linear Systems: Complex Roots | MIT 18.03SC Differential Equations, Fall 2011

3 Hour Timer
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3 Hour Timer

40Hz Binaural Gamma Waves - Ultra Deep Concentration
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40Hz Binaural Gamma Waves - Ultra Deep Concentration

Two-Dimensional Systems of DEs with Repeated Eigenvalues
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Two-Dimensional Systems of DEs with Repeated Eigenvalues

Example of Defective 3 x 3 system - one eigenvalue that produces only one LI eigenvector
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Example of Defective 3 x 3 system - one eigenvalue that produces only one LI eigenvector

🔷15 - Eigenvalues and Eigenvectors of a 3x3 Matrix
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🔷15 - Eigenvalues and Eigenvectors of a 3x3 Matrix

Oxford Linear Algebra: Eigenvalues and Eigenvectors Explained
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Oxford Linear Algebra: Eigenvalues and Eigenvectors Explained

Medical White Molecular Background video | Footage | Screensaver
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Medical White Molecular Background video | Footage | Screensaver

Eigenfunction Eigenvalue Problem
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Eigenfunction Eigenvalue Problem

Differential equations, a tourist's guide | DE1
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Differential equations, a tourist's guide | DE1

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