Solved: Let A be an n × n symmetric matrix, let M and m
Chapter 7, Problem 13E(choose chapter or problem)
Let A be an n × n symmetric matrix, let M and m denote the maximum and minimum values of the quadratic form xTAx, and denote corresponding unit eigenvectors by u1 and un. The following calculations show that given any number t between M and m, there is a unit vector x such that
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