Repeated eigenvalues - PowerPoint PPT Presentation

SYSTEMS OF DIFFERENTIAL EQUATIONS

SYSTEMS OF DIFFERENTIAL EQUATIONS. Outline. Preliminary Theory Homogeneous Linear Systems Distinct Real Eigenvalues Repeated Eigenvalues Complex Eigenvalues Solution by Diagonlization Matrix Exponential. Introduction.

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Finding Eigenvectors

Finding Eigenvectors. Some Examples. General Information. Eigenvalues are used to find eigenvectors. The sum of the eigenvalues is called the trace. The product of the eigenvalues is the determinant of the matrix.

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$MATH 374 Lecture 24$

MATH 374 Lecture 24

MATH 374 Lecture 24. Repeated Eigenvalues. 8.6: Repeated Eigenvalues. For the problem X’ = AX (1) what happens if some of the eigenvalues of A are repeated?. Repeated Eigenvalues. X’ = AX (1). Theorem 8.9. Example 1. Example 1. Example 1. Example 1. Example 1. Example 1.

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