4/29/20101Homogeneous Linear Systems with Constant CoefficientsDifferential EquationsSection 8.2Eigenvalues and Eigenvectors Distinct Real Eigenvalues ¢For each eigenvalue there corresponds an eigenvector Ksatisfyingand a solution of the form1()0AIKl-=1tXKel=Repeated Eigenvalues¢Case I – If the coefficient matrix is symmetric then you can obtain two linear independent eigenvectors from one eigenvalue.Repeated Eigenvalues¢Case II – If there is only one eigenvector associated with a repeated eigenvalue then a second
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This note was uploaded on 01/13/2012 for the course MATH 2914 taught by Professor Pamelasatterfield during the Fall '10 term at NorthWest Arkansas Community College.