Three real numbers x, y and z are chosen at random from the respective intervals (-5,...

 

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Three real numbers x, y and z are chosen at random from the respective intervals (-5, 5), (- 10, 10) and (-50, 50). Calculate the probability that the matrix M(X, Y, Z) = 1 x y x 25 Z y z 100 has at least one strictly positive eigenvalue and one strictly negative eigenvalue. Three real numbers x, y and z are chosen at random from the respective intervals (-5, 5), (- 10, 10) and (-50, 50). Calculate the probability that the matrix M(X, Y, Z) = 1 x y x 25 Z y z 100 has at least one strictly positive eigenvalue and one strictly negative eigenvalue.

Answer rating: 100% (QA)

solution solution We can begin by using the fact that the matrix has at least one strictly positive eigenvalue and one strictly negative eigenvalue if ... View the full answer