# 13 the characteristic equation of the coefficient

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Unformatted text preview: are and Hence one of the complex-valued solutions is given by ________________________________________________________________________ page 382 —————————————————————————— CHAPTER 7. —— x Therefore the general solution is x The solution may also be written as x 4. Setting x results in the algebraic equations . For a nonzero solution, we require that A I . The roots of the characteristic equation are . With , the equations reduce to the single equation . The corresponding eigenvector is given by Hence one of the complex-valued solutions is ________________________________________________________________________ page 383 ————————————————————————— CHAPTER 7. —— x The general solution is x The solution may also be written as x 5. Setting x results in the algebraic equations . The characteristic equation is , with roots . Substituting reduces the system of equations to . The eigenvectors are a...
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