Description
Problem 27.1: (6.5 #33. Introduction to Linear Algebra: Strang) When A and
B are symmetric positive definite, AB might not even be symmetric, but its
eigenvalues are still positive. Start from ABx = λx and take dot products
with Bx. Then prove λ > 0.
1 5 Problem 27.2: Find the quadratic form associated with the matrix . 7 9
Is this function f(x, y) always positive, always negative, or sometimes
positive and sometimes negative?
1
MIT OpenCourseWare
https://ocw.mit.edu
18.06SC Linear Algebra
Spring 2011
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