Home  18.013A  Chapter 32  Section 32.1 


Perform Gaussian elimination on the following set of equations to find a solution
Solution:
Here if you add the first and third equations you are lucky to find that the sum equation is 2y = 8, and you deduce y = 4. Adding the second and twice the third equation yields x  y = 6, or x = 10. Substituting in the third equation you find 10  4 + z = 1 which tells you z = 15, and you have your solution. Testing the solution in the original equations you get 10 + 12  15 = 7, 30 + 4  30 = 4, and 10  4 + 15 = 1, which are all correct.
