Question

A certain computer can execute 100 gigaflops per second. Find the time required to solve a system of 100000 equations in 100000 unknowns. Using gauss-jordan elimination. Give your answer to 4 significant figures.

Answer 1

The general equation of a sphere is: (x - a)² + (y - b)² + (z - c)² = r², where (a, b, c) represents the center of the sphere, r represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere.

Answer 2

Answer:

The Gauss-Jordan method, also known as Gauss-Jordan elimination method is used to solve a system of linear equations and is a modified version of Gauss Elimination Method.

It is similar and simpler than Gauss Elimination Method as we have to perform 2 different process in Gauss Elimination Method i.e.

1) Formation of upper triangular matrix, and

2) Back substitution

But in case of Gauss-Jordan Elimination Method, we only have to form a reduced row echelon form (diagonal matrix). Below given is the flow-chart of Gauss-Jordan Elimination Method.