In Exercise 31 of Section 6.6, a symmetric matrix

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 aij represents the average wing length of a fly that is the offspring of a male fly of type i and a female fly of type j.
a. Find the eigenvalues and associated eigenvectors of this matrix.
b. Is this matrix positive definite?

Transcribed Image Text:

1.59 1.69 2.13 A.69 131 1.72 2.13 1.72 185