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

Question

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.

Answer 1

您只有11个方程,只能把11个量用其它7个表示：
X -> 0.12 - 0.34375 c1 - 0.125 c2 - 0.0875 c3 - 0.06731 c4 - 0.0546875 c5,
Y -> 0. + 0.34375 c1 + 0.125 c2 + 0.0875 c3 + 0.06731 c4 + 0.0546875 c5,
Z -> 25.0383 - 0.0000283948 b4 + 2.56087*10^-6 b5 - 0.0312502 c1 - 0.0416369 c2 - 0.0291692 c3 - 0.022443 c4 - 0.0182326 c5,
a1 -> 3.26838 + 0.000197869 b4 - 0.224206 b5 - 0.545234 c1 + 0.765653 c2 + 0.535814 c3 + 0.412293 c4 - 0.158413 c5,
a2 -> 74.4957 - 0.332856 b4 + 0.127122 b5 + 2.41944 c1 - 1.10677 c2 +
0.125287 c3 + 0.0967125 c4 - 1.25224 c5,
a3 -> -95.0933 + 0.887885 b4 + 0.306182 b5 - 2.13128 c1 - 0.0500585 c2 - 1.23479 c3 - 0.027399 c4 + 1.99828 c5,
a4 -> 0.496552 - 0.555586 b4 - 1.15393 c4,
a5 -> 66.7688 - 0.0000757193 b4 - 0.545327 b5 - 0.0833338 c1 -
0.111032 c2 - 0.0777844 c3 - 0.0598481 c4 - 0.236087 c5,
b1 -> 0.0343573 - 0.0000741971 b4 + 0.084073 b5 - 0.358019 c1 - 0.287106 c2 -
0.20092 c3 - 0.154602 c4 + 0.0594019 c5,
b2 -> -122.346 + 0.55476 b4 - 0.21187 b5 - 4.03239 c1 - 0.298313 c2 - 0.208811 c3 - 0.161188 c4 + 2.08706 c5,
b3 -> 172.164 - 1.55425 b4 - 0.535975 b5 + 3.73082 c1 + 0.0876278 c2 +
0.0612036 c3 + 0.0479622 c4 - 3.498 c5