Practice question · Multiple choice
An eigenvector’s direction is unchanged by the transformation while every other direction turns. Why does that make eigenvectors useful for describing dynamics?
Hints
- Ask what becomes when is an eigenvector.
- The matrix disappears from the calculation.
Show the answer
C. Because along an eigenvector the map is simple multiplication
Why
Eigenvectors turn matrix powers into scalar powers. This is why normal modes, principal axes and Markov steady states are all eigenvector problems.
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