{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# The system of equations becomes which reduces to

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: _______ page 355 —————————————————————————— CHAPTER 7. —— of the other. However, there is no nonzero scalar, , such that and for all . Therefore the vectors are linearly independent. 16. The eigenvalues and eigenvectors x satisfy the equation For a nonzero solution, we must have The eigenvalues are x are solutions of the system , that is, and The two equations reduce to , we have The components of the eigenvector . Hence x Now setting , with solution given by x 17. The eigenvalues and eigenvectors x satisfy the equation For a nonzero solution, we must have The eigenvalues are becomes and , that is, For , the system of equations , which reduces to Substituting . A solution vector is given by x , we have . The equations reduce to . Hence a solution vector is given by x 19. The eigensystem is obtained from analysis of the equation ________________________________________________________________________ page 356 ————————————————————————...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online