Homework 1 STAT 521.
Due on Sept. 11, 2013
1. Let vi , i = 1, ., n be an orthogonal basis for sample space . Prove Parsevals
Identity
n
x, y =
i=1
x, vi y , vi
, x, y .
vi 2
2. Let V1 , ., Vk be mutually orthogonal one-dimensional subspaces in , none
equa