工程數學 {矩陣}

2011-01-05 2:41 am
題目如下:
For the following system of equations,

5x-3y+4z= - 23
-x+2y-8z= 29
4y+7z= - 13

(a) Determine the rank of the coefficient matrix.
(b) Find the inverse of the coefficient matrix.
(c) Find the solution.


以上我算出來的答案是

(a) rank= 3

(b) inverse matrix
[ 46 37 16 ]
[ 7 35 36 ]
[ -4 20 7 ]

(c) solution
x= -11417 / 193
y= 1322 / 193
z= 397 / 193


答案實在太詭異了
尤其是(c)
有沒有人能幫我看看
是我算錯還是答案本來就這樣...
謝謝大家
感激不盡!!

回答 (3)

2011-01-05 4:34 am
✔ 最佳答案
(b) inverse matrix
[ 46/193 37/193 16/193 ]
[ 7/193 35/193 36/193 ]
[ -4/193 20/193 7/193 ]

(c) solution
x= -1
y= 2
z=-3

2011-01-04 20:37:45 補充:
更正
(b) inverse matrix
[ 46/193 37/193 16/193]
[ 7/193 35/193 36/193 ]
[ -4/193 -20/193 7/193 ]

2011-01-04 21:39:31 補充:
小白大師的做法很好,不知為何刪掉?
2011-01-05 6:49 am
虧了...
怎麼被刪了
2011-01-05 4:32 am
其實, 自己驗算一下不就知道有沒有算錯?


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