CSC 412HW1 (Sample)

Marcus Schaefer

Problem 2

The system to solve is

x -2 y = 5 -2x+4y = -10

Applying E21(2) yields:

x – 2y = 5 0 = 0

So the system is consistent, and the solution is not unique. All solutions can be found by choosing y arbitrarily, and then letting x = 5+2y. Here is verification of my work using Matlab:

Or here is another way of presenting the solution:

Problem 2

I did the problem by hand (with Matlab verification):

Problem 3

3a: The augmented matrix is as follows:

3b) Applying E4(1/2) yields:

Next step is E34(1):

and so on ….