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Wednesday, January 30, 2013

Reduced Row Echelon

I was so exciter today. Words couldn't describe the happiness. After days having absolutely nothing at all in my mind but the Gauss Jordan Elimination method, I had finally managed to nail down this method.

Yesterday was pretty tiring because I was spending the few minutes on my bed with " Algebra for Scientist and Engineers", which was my dad's books and " Algebra" which I acquired illegally, definitely not something I am proud of but I had to do it. I don't know whether I should say this two books sucks at explaning the method or because of my retarded brain. It didn't get me anywhere near the solution.

Today during PJK, I rushed to the library to continued with my study. After flipping through " Advanced Algebra" and " Intermediate Algebra", I realized they didn't even mentioned the Gauss Jordan Elimination method. But luckily I found this book called " Trigonometry and Algebra". Ahh this is what I have been looking for!! Too bad, I didn't get to study it in details because the stupid librarians kicked me out.

I skipped Chinese class today. I don't feel guilty at all except for dragging my friend along with me. Anyway, here comes my major breakthrough, I read through the explanation and examples thoroughly. And yeah I tried the questions and got it right. Even though I still had a hard time with 3 by 3 matrix. Nevermind, I can watch the Reduced Row Echleon Form 1 at Khan Academy later.

Gauss Jordan Elimination make use of matrices to solve a set of linear equations. I wouldn't say its easier than the substitution method. You can make mistakes pretty easily. But it is really useful especially when you have tons of unknowns. You solve it by using the elementary row operations. There are three rules in this elementary row operations. I don't really remember it but I copied it in my friend's book. Those 2 books I had at home didn't even mentioned what are the rules in elementary row operations and how was I supposed to know?

I had almost finish all the matrices videos. Those last three video are about the Reduced Row Echelon Form.
Yeah, conic sections, here I come