Let A be a symmetric n à n matrix with orthonormal eigenvectors u1 . . . .

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Let A be a symmetric n × n matrix with orthonormal eigenvectors u1 . . . . un. Let x ˆˆ Rn and let ci = uTix for i = 1,2,. . . .,n show that
(a)
Let A be a symmetric n × n matrix with

(b) if x ‰ 0, then

Let A be a symmetric n × n matrix with

(c)

Let A be a symmetric n × n matrix with
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