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 $xy=6$ , or $x=10$ . Substituting in the third equation you find $104+z=1$ which tells you $z=15$ , and you have your solution. Testing the solution in the original equations you get $10+1215=7,30+430=4$ , and $104+15=1$ , which are all correct.
