Write a Java program that implements Gaussian elimination. Take as input n lines (one for each equation), each having n + 1 double values (coefficients of the variables and the value on the right-hand...

Write a Java program that implements Gaussian elimination. Take as input n lines (one for each equation), each having n + 1 double values (coefficients of the variables and the value on the right-hand side). Begin by assuming that a unique solution exists, and debug your program for the example given in the text. Then discuss problems that can arise and strategies for coping with them.