Which 3 by 3 symmetric matrices A produce these functions f = x TAx? Why is the first

Chapter 6, Problem 6.2.19

(choose chapter or problem)

Which 3 by 3 symmetric matrices A produce these functions f = x TAx? Why is the first matrix positive definite but not the second one? (a) f = 2(x 2 1 +x 2 2 +x 2 3 x1x2 x2x3). (b) f = 2(x 2 1 +x 2 2 +x 2 3 x1x2 x1x3 x2x3).

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