Determining inverse of matrix using gaussian elimination


Q1) Show all workings.

Do not use asymptotic notation, instead provide exact answers.

(i) What is the maximum number of multiplications need 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

Q2) Write a procedure to get the inverse of an n by n matrix using Gaussian elimination. (You can't use A-1or any of the built-in packages like `MatrixInverse'.)

Output any appropriate error statements. Test your procedure on each of these matrices

1552_Matrix.jpg

Request for Solution File

Ask an Expert for Answer!!
Mathematics: Determining inverse of matrix using gaussian elimination
Reference No:- TGS0901

Expected delivery within 24 Hours