Solutions - FloridaMAO
... 12. Answer: (E) The determinant of any valid product of matrices is simply the product of the individual determinants. Since each of the matrices is a two-by-two, we know that the product is defined. The determinant of C is (7)(13)−(91)(1) = 0. Thus the product is zero. 13. Answer: (A) This problem ...
... 12. Answer: (E) The determinant of any valid product of matrices is simply the product of the individual determinants. Since each of the matrices is a two-by-two, we know that the product is defined. The determinant of C is (7)(13)−(91)(1) = 0. Thus the product is zero. 13. Answer: (A) This problem ...
Math 5330 Spring 2016 Exam 1 Solutions In class questions 1. (10
... for any integer k will product primitive triples. That is, all triples of the form x “ 1176k 2 ´ 84k ´ 2, y “ 558k 2 ` 52k ´ 1, z “ 558k 2 ` 1 are primitive. (d) Order matters in equations like ax2 ` by 2 “ cz 2 . Show that x2 ` 7y 2 “ 3z 2 has no solutions other than (0, 0, 0). Hint: I don’t know a ...
... for any integer k will product primitive triples. That is, all triples of the form x “ 1176k 2 ´ 84k ´ 2, y “ 558k 2 ` 52k ´ 1, z “ 558k 2 ` 1 are primitive. (d) Order matters in equations like ax2 ` by 2 “ cz 2 . Show that x2 ` 7y 2 “ 3z 2 has no solutions other than (0, 0, 0). Hint: I don’t know a ...
Pseudospectral Collocation Methods for Fourth Order Di
... if spectral methods are to be applied to problems de ned in more than just the simplest domains. The basic idea behind domain decomposition is to break up the domain into smaller simpler subdomains in which spectral approximations can be used. The approximations are suitably linked by appropriate in ...
... if spectral methods are to be applied to problems de ned in more than just the simplest domains. The basic idea behind domain decomposition is to break up the domain into smaller simpler subdomains in which spectral approximations can be used. The approximations are suitably linked by appropriate in ...
Weber problem
In geometry, the Weber problem, named after Alfred Weber, is one of the most famous problems in location theory. It requires finding a point in the plane that minimizes the sum of the transportation costs from this point to n destination points, where different destination points are associated with different costs per unit distance.The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for all destination points, and the problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although the same name has also been used for the unweighted geometric median problem. The Weber problem is in turn generalized by the attraction–repulsion problem, which allows some of the costs to be negative, so that greater distance from some points is better.