When computers are programmed to solve large linear systems involved in applications like designing aircraft or electrical circuits, they frequently use an algorithm that is similar to the Gauss-Jordan method presented in this section. Solving a linear system with n equations and n variables requires the computer to perform a total of

arithmetic calculations, including additions, subtractions, multiplications, and divisions. Use this model to solve each problem.

Compute T for the following values of n. Write the results in a table.

n = 3, 6, 10, 29, 100, 200, 400, 1000, 5000, 10,000, 100,000

3 n +-n? T() u.