问题标题:
【求解18元一次方程组,急0.25a1+0.6667b1+0.375c1=0.840.3125a2+0.1875b2+0.4018c2=0.340.3438a3+0.1964b3+0.4125c3=1.120.3625a4+0.2014b4+0.4183c4=0.180.375a5+0.2045b5+0.0703c5=Z0.1875a1+0.125a2+0.09375a3+0.075a4+0.0046875a5=1.360.2917b1+0.175b2+0.12】
问题描述:
求解18元一次方程组,急
0.25a1+0.6667b1+0.375c1=0.84
0.3125a2+0.1875b2+0.4018c2=0.34
0.3438a3+0.1964b3+0.4125c3=1.12
0.3625a4+0.2014b4+0.4183c4=0.18
0.375a5+0.2045b5+0.0703c5=Z
0.1875a1+0.125a2+0.09375a3+0.075a4+0.0046875a5=1.36
0.2917b1+0.175b2+0.125b3+0.09722b4+0.07955b5=X
0.34375c1+0.125c2+0.0875c3+0.06731c4+0.0546875c5=Y
X+Y=0.12
a1+a2+a3+a4+a5+b1+b2+b3+b4+b5+c1+c2+c3+c4+c5+0.1113=99.9
0.375*(a1+a2+a3+a4+a5)+0.25b1+0.3b2+0.32143b3+0.3333b4+0.34091b5+0.1875c1+0.2679c2+0.3c3+0.3173c4+0.328125c5+1.2857*(39.66-Z)+0.0313=56.2
求解a1-a5,b1-b5c1-c5,XYZ这18个参数的值,能化简用其中几个代替也行.
彭月祥回答:
您只有11个方程,只能把11个量用其它7个表示:
X->0.12-0.34375c1-0.125c2-0.0875c3-0.06731c4-0.0546875c5,
Y->0.+0.34375c1+0.125c2+0.0875c3+0.06731c4+0.0546875c5,
Z->25.0383-0.0000283948b4+2.56087*10^-6b5-0.0312502c1-0.0416369c2-0.0291692c3-0.022443c4-0.0182326c5,
a1->3.26838+0.000197869b4-0.224206b5-0.545234c1+0.765653c2+0.535814c3+0.412293c4-0.158413c5,
a2->74.4957-0.332856b4+0.127122b5+2.41944c1-1.10677c2+
0.125287c3+0.0967125c4-1.25224c5,
a3->-95.0933+0.887885b4+0.306182b5-2.13128c1-0.0500585c2-1.23479c3-0.027399c4+1.99828c5,
a4->0.496552-0.555586b4-1.15393c4,
a5->66.7688-0.0000757193b4-0.545327b5-0.0833338c1-
0.111032c2-0.0777844c3-0.0598481c4-0.236087c5,
b1->0.0343573-0.0000741971b4+0.084073b5-0.358019c1-0.287106c2-
0.20092c3-0.154602c4+0.0594019c5,
b2->-122.346+0.55476b4-0.21187b5-4.03239c1-0.298313c2-0.208811c3-0.161188c4+2.08706c5,
b3->172.164-1.55425b4-0.535975b5+3.73082c1+0.0876278c2+
0.0612036c3+0.0479622c4-3.498c5
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