如何step by step 用Cramer Rule 計3x3Matrix determinant? (20點!!)

Given the system of equation;

圖片參考：http://library.thinkquest.org/10030/media/10cram9.gif

Then

圖片參考：http://library.thinkquest.org/10030/media/10cram10.gif

ex.
5x -2y + 3z = -1
3x + y - 2z = 25
2x - 4y + 5z = 16

圖片參考：http://library.thinkquest.org/10030/media/10cram11.gif

= 5(5-8) + 2(15-(-4)) + 3(-12 -2)
= 5(-3) + 2(19) + 3(-14)
= -15 + 38 - 42
= -19
D = -19


圖片參考：http://library.thinkquest.org/10030/media/10cram12.gif

= -1(5-8) -25(-10 - (-12)) - 29(4 - 3)
= -1(-3) -25(2) -29
= 3 - 50 -29
Dx= -76

圖片參考：http://library.thinkquest.org/10030/media/10cram13.gif

= 1(15 - (-4)) + 25 (25 -6) + 29 (-10 -9)
= 19 + 25(19) + 29(-19)
= 19( 1 + 25 - 29)
= 19(-3)
Dy = -57


圖片參考：http://library.thinkquest.org/10030/media/10cram14.gif

= -1(-12 - 2) -25( -20 - (-4)) - 29(5-(-6))
= -1(-14) -25(-16) -29(11)
= 14 + 400 - 319
= 95
Dz = 95

2006-11-16 05:03:10 補充：
SORRY BOR你講0岩呀﹐應該是用16﹐或者將條題目改成2x - 4y 5z = -29