Homogeneous linear system with constant coefficients

Homogeneous linear system with constant coefficients
Tag	`0469V0EN5N`
URI	`m2://0469V0EN5N`
Kind	concept
Writing	W0 stub
MSC	34A30

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Summary

A homogeneous linear system with constant coefficients is a system $x' = A x$ with a constant square matrix $A$ . Its solutions are given by the matrix exponential, and the eigenvalues of $A$ control their behaviour. See the definition.

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Sources

Web https://en.wikipedia.org/wiki/Matrix_differential_equation, Solution in matrix form

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Definitions

Homogeneous linear system with constant coefficients 0VJF99CZ0Z