Cheat Engine

oib111 · Posted: Wed Jun 10, 2009 6:38 pm Post subject: Cramers Law for a 3x3

I can prove Cramer's Law for a 2x2, but can anyone prove it for a 3x3? I tried googling but I couldn't find anything.

Duke of Lazarus · Posted: Wed Jun 10, 2009 7:08 pm Post subject:

You mean this?
Ax+By+Cz=D
Ax+By+Cz=D
Ax+By+Cz=D

D B C      A D C       A B D
D B C      A D C       A B D
D B C      A D C       A B D
_____  + _____  + _____
A B C      A B C       A B C
A B C      A B C       A B C
A B C      A B C       A B C

oib111 · Posted: Wed Jun 10, 2009 7:12 pm Post subject:

No. I mean:

Duke of Lazarus · Posted: Wed Jun 10, 2009 7:14 pm Post subject:

oib111 · Posted: Wed Jun 10, 2009 7:16 pm Post subject:

Duke of Lazarus · Posted: Wed Jun 10, 2009 7:18 pm Post subject:

It should be the same, :/
Just mine pairs up x.y.z. and sum
With same letter's while, your's goes with alphbetical. :3

AverageAzn247 · Posted: Wed Jun 10, 2009 7:27 pm Post subject:

3x3 works for crammers although the formula is slightly different
http://en.wikipedia.org/wiki/Cramer%27s_rule

Duke of Lazarus · Posted: Wed Jun 10, 2009 7:29 pm Post subject:

F ya, I was right. :3

oib111 · Posted: Wed Jun 10, 2009 7:33 pm Post subject:

I know the formula for finding x, y, and z, but I want to prove it. Also, Myth Drannor, you weren't right. Repeating the same equation over and over does not create a linear system. That's why mine is different. While yours is repetitive, mine has different constants for all the coefficients and answers.

Duke of Lazarus · Posted: Wed Jun 10, 2009 9:04 pm Post subject:

Why didn't you say you wanted to solve the linear to begin with. Mine's the matrix way which sitll can be done with your starting equation's :3

oib111 · Posted: Wed Jun 10, 2009 10:27 pm Post subject: