Lesson 8.1

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Today we learned two different methods of elimination using matrices, the Gaussian Elimination and the Gauss Jordan Elimination.  These two methods are somewhat similar, but personally, I think the Gauss Jordan Elimination is way easier and faster.

The Gaussian Elimination deals with inputting a given system of equations in matrices, and then creating your diagonal of 1's, which will give you a new set of equations.  Eventually you will have a given solution to one of your terms, and then you just plug and chug and you'll be able to solve for your other variables.

The Gauss Jordan Elimination is a little different, because it deals with finding your constants within your matrices, just by making all the numbers outside of your diagonal 1's zeroes.  It gets a little tricky to do this, but once you do, everything is really simple and your answers come right on the page.

Here are some examples:

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In addition, referring to the error analysis, the problem was incorrect due to the fact that the student did not correctly zero out the first zero, because he or she did not ally the (-1) to the whole row. In conclusion, the answer should actually be (7,-3).