Math 603-601 - Fall 2002
Homework
Assignment 7
- Find the eigenvalues and eigenvectors of the matrices
below. Determine whether or not a given matrix is diagonalizable. If
it is, find S for which S-1AS=D.
3 4 2 1
-1 -1 -1 2
- Bring the quadratic form Q(X) = 4x2 + 4y2 +
4z2 - 2xy + 2xz - 2yz into diagonal form. Find a set of
principal axes.
- Find the normal modes of a horizontal spring system attached to
wall mounts and consisting of three springs (constants = k, 3k, k) and
two identical masses (mass = m).
Due Tuesday, 29 October.