Problem

To illustrate how the computational effort increases nonlinearly with the number of grid p...

To illustrate how the computational effort increases nonlinearly with the number of grid points used to solve a CFD problem, use a computer language or programming environment (such as MATLAB) to create an n by n matrix A, and fill all the entries with random numbers. Create an n by 1 vector called b, and fill it with random numbers as well. Solve the matrix system Ax = b, for the unknown vector x. Plot the time it takes to solve the problem vs the size of the matrix, n, for values of n from 1 to 1000.

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Solutions For Problems in Chapter 4