Consider a positive definite quadratic form q on Rn with symmetric matrix A. We know
Chapter 8, Problem 63(choose chapter or problem)
Consider a positive definite quadratic form q on Rn with symmetric matrix A. We know that there exists an orthonormal eigenbasis Ci....... vn for A, with associated positive eigenvalues X]...., Xn. Now consider the orthogonal eigenbasis w\,..., wny where u>, = ^==3/ \Xi Show that q(c\w\ H------ h cnwn) = c2 H------ h cn.
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