Warren King
11/17/2023 · Primary School

1. Решите систему уравнений по формулам Крамераи сделать проверку решения. \[ \left\{\begin{array}{l}k x_{1}+x_{2}+3 x_{3}=-2 \\ 3 x_{1}+2 x_{2}+2 x_{3}=1 \\ 2 x_{1}-3 x_{2}-x_{3}=3\end{array}\right. \] (k-номер по журналу).

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Для решения системы уравнений по формулам Крамера, сначала вычисляем determinant матрицы коэффициентов и determinants для каждого столбца, который заменяется правой частью уравнений. Если determinant матрицы не равен нулю, находим значения \( x_1, x_2, x_3 \) по формулам Крамера и проверяем решение, подставив его обратно в систему уравнений.

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