# Setting which corresponds to using in the modified

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: —— CHAPTER 7. —— For a nonzero solution, the determinant of the coefficient matrix must be zero. That is, Hence the eigenvalues are , yields and Substituting the first eigenvalue, The system is equivalent to the equation by x . A solution vector is given Substitution of results in , which reduces to 20. The eigenvalues . A corresponding solution vector is x and eigenvectors x satisfy the equation For a nonzero solution, we must have Hence the eigenvalues are eigenvector corresponding to , that is, and , set In order to determine the . The system of equations becomes , which reduces to Substitution of . A solution vector is given by x results in , which reduces to . A corresponding solution vector is x 22. The eigensystem is obtained from analysis of the equation ________________________________________________________________________ page 357 —————————————————————————— CHAPTER 7. —— . The characteristic equation of the coefficient matrix is roots , and . Setting , we have , with . This system is reduces to the equations A corresponding solution vector is given by x the reduced system of equations is S...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online