# Write a program that will solve a system of linear equations of the form AX = B, where A is an n-by-

Write a program that will solve a system of linear equations of the form AX = B, where A is an n-by- n array of floating point numbers that has all entries other than those on the main diagonal equal to 0, X is an n-by-1 array of floating point numbers that represents the array of unknowns to be solved for, and B is an n-by-1 array of floating point numbers. The next program is an example of poor programming practice. It is based on an actual program that was used to control the display of a moving object. The main consideration at that time was speeding up the program as much as possible.

Write a program that will solve a system of linear equations of the form AX = B, where A is an n-by- n array of floating point numbers that has all entries other than those on the main diagonal equal to 0, X is an n-by-1 array of floating point numbers that represents the array of unknowns to be solved for, and B is an n-by-1 array of floating point numbers. The next program is an example of poor programming practice. It is based on an actual program that was used to control the display of a moving object. The main consideration at that time was speeding up the program as much as possible. That is your objective here. Some of the code was the actual code used in the first attempt to perform the desired action. I added a few nasty features to slow the program. Try to find as many ways as possible to speed up the code. You should concentrate on minimizing the number of floating point operations. There are at least nine separate improvements that can be made. Note: The functions move_to() and draw_to() were actual graphics functions; use the ones given here to simulate the time that such functions take.

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