In a paper by Dorn and Burdick [DoB], it is reported that the average wing length that
Chapter 1, Problem 6.6.31(choose chapter or problem)
In a paper by Dorn and Burdick [DoB], it is reported that the average wing length that resulted from mating three mutant varieties of fruit flies (Drosophila melanogaster) can be expressed in the symmetric matrix form A = 1.59 1.69 2.13 1.69 1.31 1.72 2.13 1.72 1.85 , where ai j denotes the average wing length of an offspring resulting from the mating of a male of type i with a female of type j. a. What physical significance is associated with the symmetry of this matrix? b. Is this matrix positive definite? If so, prove it; if not, find a nonzero vector x for which xt Ax 0.
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