Determine multiplications required to obtain the determinant, Mathematics

Don't count the number of divisions. Do not use asymptotic notation, instead provide exact answers.

(i) What is the maximum number of multiplications required to solve a system of n equations with n unknowns using Gaussian Elimination

(ii) What is the maximum number of multiplications required to obtain the determinant of ann by n matrix by L.U. Decomposition using Gaussian Elimination.

(iii) What is the maximum number of multiplications required to invert an n by n matrix usingGaussian Elimination.

(iv) For what range of values of w is the Gaussian-Siedel method stable when solving this systemof equations:

3x - y + wz= 3

x + 3y -z = 4

x + y -2z = 1

 

Posted Date: 3/29/2013 2:38:09 AM | Location : United States







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