详细信息: 输入的方程组为:
| | | | 298 | A | + | | 324 | B | + | | 877 | C | + | | 1017 | D | + | | 318 | E | + | | 601 | F | + | | 141 | G | + | | 415 | H | + | | 245 | I | + | | 121 | J | + | | 20 | K | + | | 1150 | L | + | | 838 | M | + | | 733 | N | = | | 496 | | (1) |
| | | | | | | | | | | | | | 解题过程:
将未知数的系数化为1,方程组化为:
| | | | A | + | | | 162 149 | B | + | | | 877 298 | C | + | | | 1017 298 | D | + | | | 159 149 | E | + | | | 601 298 | F | + | | | 141 298 | G | + | | | 415 298 | H | + | | | 245 298 | I | + | | | 121 298 | J | + | | | 10 149 | K | + | | | 575 149 | L | + | | | 419 149 | M | + | | | 733 298 | N | = | | | 248 149 | | (1) |
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所以,方程组的解为:
| | | A = | | | 248 149 | - | | | 162 149 | B | - | | | 877 298 | C | - | | | 1017 298 | D | - | | | 159 149 | E | - | | | 601 298 | F | - | | | 141 298 | G | - | | | 415 298 | H | - | | | 245 298 | I | - | | | 121 298 | J | - | | | 10 149 | K | - | | | 575 149 | L | - | | | 419 149 | M | - | | | 733 298 | N |
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将方程组的解化为小数:
| | | A = | | 1.664430 | - | | | 162 149 | B | - | | | 877 298 | C | - | | | 1017 298 | D | - | | | 159 149 | E | - | | | 601 298 | F | - | | | 141 298 | G | - | | | 415 298 | H | - | | | 245 298 | I | - | | | 121 298 | J | - | | | 10 149 | K | - | | | 575 149 | L | - | | | 419 149 | M | - | | | 733 298 | N |
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其中: B, C, D, E, F, G, H, I, J, K, L, M, N 为任意常数。 解方程组的详细方法请参阅:《多元一次方程组的解法》 |