Consider a linear transformation L from Rm to Rn. Show that there exists an orthonormal
Chapter 8, Problem 19(choose chapter or problem)
Consider a linear transformation L from Rm to Rn. Show that there exists an orthonormal basis 5i, U 2,..., vm of Rm such that the vectors L(v 1), L(v2),..., L(vm) are orthogonal. Note that some of the vectors L(vj) may be zero. (Hint: Consider an orthonormal eigenbasis v\,v2,..-*vm for the symmetric matrix A7 A.)
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer