Unformatted text preview: heorem 5. Since the eigenvalues of
are the
reciprocals of eigenvalues of (see Exercise 25 in section 5.1), the eigenvalues of
are
positive (also it can easily be shown that
is symmetric), by theorem 5, the quadratic form
is positive definite. Problem 4.
For a given quadratic form given by a quadratic polynomial
Step 1. Find the corresponding symmetric matrix
Step 2. Find the eigenvalues of : s.t. and sort them in decreasing order Step 3. For each eigenvalue find the unit eigenvectors corresponding to
Step 4. Based on theorem 6, any of those unit eigenvectors...
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This note was uploaded on 02/13/2014 for the course CS 132 taught by Professor Kfoury during the Fall '13 term at BU.
 Fall '13
 KFOURY
 Algorithms

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