Consider the perturbed eigenvalue problem (9.6.1). Determine the perturbations of the eigenvalue 1 if (a) d dx (0) = 0 and d dx (L)=0 (b) (0) = 0 and d dx (L)=0

Section 4.1 Eigenvalues and Eigenvectors Definition: Let A be an n ×n matrix, u be a nonzero n ×1 vector, and λ be a constant. If Au = λu then λ is called an eigenvalue for the matrix A and u is called the eigenvector corresponding to λ . Example: Let 35 −10 A = and u...