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prthefu

木虫 (著名写手)

[求助] 帮忙求解三元一次方程组 已有2人参与

我真的是偷个懒了,不想动笔算,因为已经算了好多次,每次都算不对,所以,这才在这儿请教各位。帮忙算一下,感谢感谢!!!!
三元一次方程组,求解一下A、B、C

0.4123+0.19B+0.1955C-11.6738A=0
0.2733+0.19A+0.1395C-8.5578B=0
-0.2629+0.1955A+0.1395B-10.7488C=0

我先谢过了!!!

[ Last edited by pippi6 on 2015-5-31 at 06:55 ]
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hit_心如止水

新虫 (初入文坛)

【答案】应助回帖

感谢参与,应助指数 +1
这种东西用MATLAB很容易就求出来,误差非常小
A =0.035453012054604240614702477948417
B =0.032341561042795506516380904694664
C =-0.023393987084870394630171789349153
3楼2015-05-28 11:27:24
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prthefu

木虫 (著名写手)

太不好意思了,手一抖,最后一个方程漏了一个B。
改正后是:-0.2629+0.1955A+0.1395B-10.7488C=0
nothing is impossible in this world,if you have the will to win,you can achieve anything
2楼2015-05-27 20:50:42
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peterflyer

木虫之王 (文学泰斗)

peterflyer


【答案】应助回帖

感谢参与,应助指数 +1
用代入法求解不算太难吧,怎么可能算不出来呢?我下面帮你算一下吧。
4楼2015-05-29 23:54:37
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peterflyer

木虫之王 (文学泰斗)

peterflyer


【答案】应助回帖

0.4123+0.19B+0.1955C-11.6738A=0                 (1)
0.2733+0.19A+0.1395C-8.5578B=0                  (2)
-0.2629+0.1955A+0.1395B-10.7488C=0                (3)

C=(-0.2629+0.1955A+0.1395B)/10.7488
  =-0.024458544+0.018188077A+0.012978193B         (4)
0.4123+0.19B+0.1955*(-0.024458544+0.018188077A+0.012978193B)-11.6738A=0
即:-11.6702443A+0.192535635B+0.407518355=0       (5)
0.2733+0.19A+0.1395(-0.024458544+0.018188077A+0.012978193B)-8.5578B=0
0.21537237A-8.55598954B+0.269888033=0             (6)
B=0.0251721171A+0.0315437546                            (7)
-11.6702443A+0.192535635(0.0251721171A+0.0315437546)+0.407518355=0
-11.6653978A+0.413591652=0
A=0.035354569;
代入(7):B=0.0324362212;
代入(4):C=-0.0233945488
5楼2015-05-30 00:32:26
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