Select a reasonable value of n, and generate a random n × n array a using a random-numbe...

Select a reasonable value of n, and generate a random n × n array a using a random-number generator. Define the array b such that the solution of the system

is x _j = j , where 1? j ?n. Test the naive Gaussian algorithm on this system.

Hint: You may use the function Random, which is discussed in Chapter 10, to generate the random elements of the (a_{i j} ) array.