Linear Transformations

1. Oct 12, 2008

mivanova

Suppose n is a positive integer and T is in F^n is defined by
T(z_1, z_2, ... , z_n) = (z_1+ ... +z_n, z_1+ ... +z_n, ...............,z_1+ ... +z_n)
Determine all eigenvalues and eigenvectors of T.