I tried it with Wolfram Alpha by referring to "Solving simultaneous linear equations with Python (sweeping method and fractional expression)".

(Original post) https://qiita.com/asana_yui/items/89832a2435408223ace2

At Wolfram Alpha

mat1.txt

Input interpretation:

https://www.wolframalpha.com/input/?i=%E6%8E%83%E3%81%8D%E5%87%BA%E3%81%97%E6%B3%95%E8%A8%88%E7%AE%97%E6%A9%9F&assumption=%7B%22F%22%2C+%22ReducedRowEchelon%22%2C+%22theMatrix%22%7D+-%3E%22%7B%7B4%2C+2%2C+1%2C+26%7D%2C+%7B1%2C+6%2C+3%2C+48%7D%2C+%284%2C+1%2C+5%2C+34%29%7D%22&lang=ja

(4 | 2 | 1 | 26 1 | 6 | 3 | 48 4 | 1 | 5 | 34)

result:

(1 | 0 | 0 | 30/11 0 | 1 | 0 | 64/11 0 | 0 | 1 | 38/11)

approximation (1 | 0 | 0 | 2.72727 0 | 1 | 0 | 5.81818 0 | 0 | 1 | 3.45455)

mat2.txt Something is wrong?

Input interpretation:

https://www.wolframalpha.com/input/?i=%E6%8E%83%E3%81%8D%E5%87%BA%E3%81%97%E6%B3%95%E8%A8%88%E7%AE%97%E6%A9%9F&assumption=%7B%22F%22%2C+%22ReducedRowEchelon%22%2C+%22theMatrix%22%7D+-%3E%22%7B%7B3%2C6%2C9%7D%2C+%7B6%2C12%2C18%7D%7D%22&lang=ja (3 | 6 | 9 6 | 12 | 18)

result:

(1 | 2 | 3 0 | 0 | 0)

mat3.txt Something is wrong?

Input interpretation

https://www.wolframalpha.com/input/?i=%E6%8E%83%E3%81%8D%E5%87%BA%E3%81%97%E6%B3%95%E8%A8%88%E7%AE%97%E6%A9%9F&assumption=%7B%22F%22%2C+%22ReducedRowEchelon%22%2C+%22theMatrix%22%7D+-%3E%22%7B%7B1.0%2C+2.0%2C+3.0%7D%2C+%7B0%2C+0%2C+0%7D%7D%22&lang=ja (1 | 2 | 3 0 | 0 | 0)

output

(1 | 2 | 3 0 | 0 | 0)

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