Consider a quadratic form q on W1 with symmetric ma- * trix A, with rank A = r. Suppose
Chapter 8, Problem 67(choose chapter or problem)
Consider a quadratic form q on W1 with symmetric ma- * trix A, with rank A = r. Suppose that A has p positive eigenvalues, if eigenvalues are counted with their multiplicities. Show that there exists an orthogonal basis w\, ...,wn of W1 such that q(c\w\ H------ h cnwn) = c2 + + c2 c2 + [ c2. Hint: Modify the approach outlined in Exercises 63 and 65.
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