x1+x2+x3=2 2x1-3x2+2x3=2 3x1-2x2+4x3=-5 как решить?
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Ответил Alexаndr
0
Метод Гаусса-Жордана
![left(begin{array}{ccc|c|c}1&1&1&2&downarrow\2&-3&2&2&-2\3&-2&4&-5&-3end{array}right) textgreater left(begin{array}{ccc|c|c}1&1&1&2&\0&-5&0&-2&:-5\0&-5&1&-11&end{array}right) textgreater \left(begin{array}{ccc|c|c}1&1&1&2&-1\0&1&0&frac{2}{5}&updownarrow\0&-5&1&-11&5end{array}right) textgreater left(begin{array}{ccc|c|c}1&0&1&frac{8}{5}&-1\0&1&0&frac{2}{5}&\0&0&1&-9&uparrowend{array}right) textgreater \left(begin{array}{ccc|c|c}1&0&0&frac{53}{5}&\0&1&0&frac{2}{5}&\0&0&1&-9&end{array}right)\](https://tex.z-dn.net/?f=left%28begin%7Barray%7D%7Bccc%7Cc%7Cc%7D1%26amp%3B1%26amp%3B1%26amp%3B2%26amp%3Bdownarrow%5C2%26amp%3B-3%26amp%3B2%26amp%3B2%26amp%3B-2%5C3%26amp%3B-2%26amp%3B4%26amp%3B-5%26amp%3B-3end%7Barray%7Dright%29+textgreater++left%28begin%7Barray%7D%7Bccc%7Cc%7Cc%7D1%26amp%3B1%26amp%3B1%26amp%3B2%26amp%3B%5C0%26amp%3B-5%26amp%3B0%26amp%3B-2%26amp%3B%3A-5%5C0%26amp%3B-5%26amp%3B1%26amp%3B-11%26amp%3Bend%7Barray%7Dright%29+textgreater++%5Cleft%28begin%7Barray%7D%7Bccc%7Cc%7Cc%7D1%26amp%3B1%26amp%3B1%26amp%3B2%26amp%3B-1%5C0%26amp%3B1%26amp%3B0%26amp%3Bfrac%7B2%7D%7B5%7D%26amp%3Bupdownarrow%5C0%26amp%3B-5%26amp%3B1%26amp%3B-11%26amp%3B5end%7Barray%7Dright%29+textgreater++left%28begin%7Barray%7D%7Bccc%7Cc%7Cc%7D1%26amp%3B0%26amp%3B1%26amp%3Bfrac%7B8%7D%7B5%7D%26amp%3B-1%5C0%26amp%3B1%26amp%3B0%26amp%3Bfrac%7B2%7D%7B5%7D%26amp%3B%5C0%26amp%3B0%26amp%3B1%26amp%3B-9%26amp%3Buparrowend%7Barray%7Dright%29+textgreater++%5Cleft%28begin%7Barray%7D%7Bccc%7Cc%7Cc%7D1%26amp%3B0%26amp%3B0%26amp%3Bfrac%7B53%7D%7B5%7D%26amp%3B%5C0%26amp%3B1%26amp%3B0%26amp%3Bfrac%7B2%7D%7B5%7D%26amp%3B%5C0%26amp%3B0%26amp%3B1%26amp%3B-9%26amp%3Bend%7Barray%7Dright%29%5C "left(begin{array}{ccc|c|c}1&1&1&2&downarrow\2&-3&2&2&-2\3&-2&4&-5&-3end{array}right) textgreater left(begin{array}{ccc|c|c}1&1&1&2&\0&-5&0&-2&:-5\0&-5&1&-11&end{array}right) textgreater \left(begin{array}{ccc|c|c}1&1&1&2&-1\0&1&0&frac{2}{5}&updownarrow\0&-5&1&-11&5end{array}right) textgreater left(begin{array}{ccc|c|c}1&0&1&frac{8}{5}&-1\0&1&0&frac{2}{5}&\0&0&1&-9&uparrowend{array}right) textgreater \left(begin{array}{ccc|c|c}1&0&0&frac{53}{5}&\0&1&0&frac{2}{5}&\0&0&1&-9&end{array}right)\")
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