| 1. | Informally speaking, every matrix satisfies its own characteristic equation.
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| 2. | Which is the characteristic equation of the recurrence relation.
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| 3. | The eigenvalues are the solutions of the characteristic equation.
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| 4. | Thermodynamics imposes restrictions on the possible equations of state and on the characteristic equation.
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| 5. | If m = 1 is a characteristic equation:
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| 6. | The desired characteristic equation is then s ^ 2 + 6s + 5 = 0.
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| 7. | As in three dimensions the characteristic equation of the matrix can be solved to find the eigenvalues.
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| 8. | The characteristic equation of a fourth-order linear difference equation or differential equation is a quartic equation.
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| 9. | The "'characteristic equation "'is the equation obtained by equating to zero the characteristic polynomial.
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| 10. | The equation is called the " characteristic equation ", as its roots are exactly the eigenvalues of.
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