详细信息: 输入的方程组为:
| | | | 3 | A | + | | 4 | B | + | | 5 | C | + | | 6 | D | + | | 7 | E | + | | 8 | F | + | | 9 | G | + | | 20 | H | + | | 28 | I | + | | 47 | J | + | | 58 | K | + | | 25 | L | + | | 5 | M | + | | 68 | N | + | | 4 | O | + | | 58 | P | + | | 38 | Q | + | | 38 | R | + | | 57 | S | + | | 59 | T | = | | 26859 | | (1) |
| | 47 | A | + | | 48 | B | + | | 40 | C | + | | 29 | E | + | | 406 | F | + | | 579 | G | + | | 392 | H | + | | 57 | I | + | | 78 | J | + | | 67 | K | + | | 38 | L | + | | 58 | M | + | | 8 | N | + | | 49 | P | + | | 478 | Q | + | | 375 | R | + | | 68 | S | + | | 57 | T | = | | 482064927 | | (2) |
| | 64 | A | + | | 55 | B | + | | 35 | C | + | | 436 | D | + | | 45 | E | + | | 535 | K | + | | 54 | M | + | | 4 | N | + | | 6345 | O | + | | 55 | P | + | | 355 | Q | + | | 453 | R | + | | 76 | S | + | | 3 | T | = | | 374869 | | (3) |
| | 48 | A | + | | 467 | B | + | | 20 | C | + | | 46 | D | + | | 57 | E | + | | 64 | F | + | | 75 | G | + | | 92 | H | + | | 84 | I | + | | 25 | K | + | | 59 | L | + | | 25 | M | + | | 95 | N | + | | 557 | P | + | | 36 | R | + | | 24 | S | + | | 6 | T | = | | 59 | | (4) |
| | 25 | A | + | | 59 | B | + | | 59 | C | + | | 28 | D | + | | 46 | E | + | | 84 | F | + | | 29 | G | + | | 39 | H | + | | 93 | K | + | | 93 | L | + | | 8 | M | + | | 39 | N | + | | 5 | O | + | | 3 | P | + | | 4 | Q | + | | 4 | R | + | | 5789 | S | + | | 34 | T | = | | 34847 | | (5) |
| | 4792 | A | + | | 5792 | B | + | | 4629 | C | + | | 370 | D | + | | 479 | G | + | | 4803 | H | + | | 3692 | K | + | | 47 | M | + | | 25490 | N | + | | 369 | O | + | | 54830 | P | + | | 49 | Q | + | | 49269 | R | = | | 37039450 | | (6) |
| | 379 | B | + | | 45 | C | + | | 369 | D | + | | 47 | E | + | | 56918 | F | + | | 48 | G | + | | 56 | H | + | | 579 | I | + | | 3692 | J | + | | 468 | K | + | | 47 | L | + | | 35 | M | + | | 93 | N | + | | 29 | O | + | | 45 | P | + | | 54 | Q | + | | 45 | R | + | | 46 | S | + | | 57 | T | = | | 0 | | (7) |
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解题过程(略)
方程组的解为:
| | | A = | 359453.451425 | + | 2.407084 | I | + | 3.533667 | J | + | 2.070428 | K | + | 0.636558 | L | + | 0.283200 | M | - | 0.285512 | N | - | 1.683991 | O | - | 4.651191 | P | + | 2.339066 | Q | - | 7.453868 | R | - | 86.112215 | S | + | 3.896844 | T |
| B = | -82762.623492 | - | 0.178894 | I | + | 0.061681 | J | + | 0.353519 | K | + | 0.152218 | L | - | 0.022560 | M | + | 0.149387 | N | + | 0.468263 | O | - | 0.945945 | P | + | 0.165657 | Q | + | 0.447863 | R | + | 16.869216 | S | + | 0.166182 | T |
| C = | 0.000000 | - | 0.000000 | I | + | 0.000000 | J | - | 0.000000 | K | - | 0.000000 | L | + | 0.000000 | M | + | 0.000000 | N | + | 0.000000 | O | - | 0.000000 | P | + | 0.000000 | R | + | 0.000000 | S | - | 0.000000 | T |
| D = | 6786.054624 | - | 0.361269 | I | - | 0.556226 | J | - | 1.457500 | K | + | 0.119734 | L | - | 0.160765 | M | - | 0.151348 | N | - | 15.247886 | O | + | 0.040565 | P | - | 1.274282 | Q | - | 0.562859 | R | + | 26.095336 | S | - | 0.527971 | T |
| E = | -467487.275893 | + | 0.295533 | I | + | 0.288159 | J | - | 1.144022 | K | - | 2.251457 | L | - | 0.017565 | M | + | 1.600983 | N | + | 8.557758 | O | + | 6.155926 | P | + | 0.928351 | Q | + | 5.440477 | R | - | 152.670920 | S | - | 0.696499 | T |
| F = | 338.503952 | - | 0.005696 | I | - | 0.060014 | J | + | 0.001417 | K | - | 0.000376 | L | + | 0.000801 | M | - | 0.000605 | N | + | 0.087491 | O | + | 0.002609 | P | + | 0.007389 | Q | - | 0.002867 | R | - | 0.194985 | S | + | 0.003999 | T |
| G = | 1076491.850870 | + | 1.256026 | I | + | 2.154731 | J | + | 2.010531 | K | + | 0.582975 | L | + | 0.053775 | M | + | 3.679957 | N | - | 2.027423 | O | + | 4.158844 | P | + | 0.616462 | Q | + | 2.033386 | R | - | 31.931674 | S | + | 2.513630 | T |
| H = | -358994.547312 | - | 2.283273 | I | - | 3.771998 | J | - | 3.348916 | K | - | 0.886026 | L | - | 0.258110 | M | - | 5.557729 | N | + | 2.415440 | O | - | 6.052400 | P | - | 2.506993 | Q | - | 3.520679 | R | + | 66.746458 | S | - | 4.298330 | T |
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其中: I, J, K, L, M, N, O, P, Q, R, S, T 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》 |