In Exercise 22 of Section 6.6, a symmetric matrix A = 1.59 1.69 2.13 1.69 2.13 1.31 1.72

Chapter 9, Problem 15

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In Exercise 22 of Section 6.6, a symmetric matrix A = 1.59 1.69 2.13 1.69 2.13 1.31 1.72 1.72 1.85 was used to describe the average wing lengths of fruit flies that were offspring resulting from the mating of three mutants of the flies. The entry represents the average wing length of a fly that is the offspring of a male fly oftype i and a female fly oftype j. a. Find the eigenvalues and associated eigenvectors ofthis matrix. b. Is this matrix positive definite?

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