详细信息: 输入的方程组为:
| | | | A | + | | B | + | | C | + | | D | + | | E | + | | F | + | | G | + | | H | + | | I | + | | J | + | | K | + | | L | + | | M | + | | N | + | | O | + | | P | + | | Q | + | | R | + | | S | + | | T | = | | 0 | | (1) |
| | | | | | | | | | | | | | | 2 | A | + | | 2 | B | + | | 2 | C | + | | 2 | D | + | | 2 | E | + | | 2 | F | + | | 2 | G | + | | 2 | H | + | | 2 | I | + | | 2 | J | + | | 2 | K | + | | 2 | L | + | | 2 | M | + | | 2 | N | + | | 2 | O | + | | 2 | P | + | | 2 | Q | + | | 2 | R | + | | 2 | S | + | | 2 | T | = | | 0 | | (15) |
| | | | 23 | A | + | | 12 | B | + | | 423 | C | + | | 75 | D | + | | 87 | E | | -9 | F | | -90 | G | | -90 | H | + | | 57 | I | + | | 37 | J | + | | 87 | K | + | | 54 | L | + | | 43 | M | + | | 54 | N | + | | 75 | O | + | | 578 | Q | + | | 587 | R | + | | 572 | S | + | | 474 | T | = | | 0 | | (18) |
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解题过程(略)
方程组的解为:
| | | | B = | - | 2.360000 | G | - | 2.360000 | H | - | 0.400000 | I | - | 0.586667 | M | - | 0.440000 | N | - | 0.160000 | O | - | 1.160000 | P | + | 6.546667 | Q | + | 6.666667 | R | + | 6.466667 | S |
| | | E = | | 1.360000 | G | + | 1.360000 | H | - | 0.600000 | I | - K | - | 0.413333 | M | - | 0.560000 | N | - | 0.840000 | O | + | 0.160000 | P | - | 7.546667 | Q | - | 7.666667 | R | - | 7.466667 | S |
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其中: G, H, I, K, M, N, O, P, Q, R, S 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》 |