Let A be a symmetric nn matrix with eigenvalues 1, ... , n. Show that there exists an
Chapter 6, Problem 11(choose chapter or problem)
Let A be a symmetric nn matrix with eigenvalues 1, ... , n. Show that there exists an orthonormal set of vectors {x1, ... , xn} such that xT Ax = n i=1 i xT xi 2 for each x Rn.
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