Question

1 . Решить систему линейных уравнений методом Крамера: 3x1+x2+2x3=4 −x1+2x2−3x3=1 −2x1+x2+x3=−2 2. Решить систему уравнений методом Крамера; x+y−2z=2 2x−3y−z=1 -x−4y+z=3 Помогите пожалуйста срочно!!!

Answer 1

Ответ:

1 матрица (х1=40/35; х2=21/35; х3=-11/35) 2 матрица (х=-28/14; у=-12/14;z=-34/14)

Пошаговое объяснение:

1 матрица находим определитель=35, подставляем в 1 столбец данные 4 столбца и находим поределитель=40, во 2 столбец подставляем данные 4 столбца и находим определитель =21, в 3 столбец подставляем данные 4 столбца и находим определитель =-11. х1 = 40/на определитель матрицы общий, = 40/35. и так каждое число.

Все то же самое и во второй матрице.

Answer 2

Solving the System of Linear Equations using Cramer's Rule

To solve the system of linear equations using Cramer's Rule, we'll first calculate the determinants and then use them to find the values of the variables.

1. Given System of Equations: We have the following system of linear equations: - 3x1 + x2 + 2x3 = 4 - -x1 + 2x2 - 3x3 = 1 - -2x1 + x2 + x3 = -2

2. Calculating Determinants: We'll start by calculating the determinant of the coefficient matrix and the determinants of matrices obtained by replacing the columns of the coefficient matrix with the constants from the equations.

- The coefficient matrix is: ``` | 3 1 2 | | -1 2 -3 | | -2 1 1 | ```

- The constants matrix is: ``` | 4 | | 1 | | -2 | ```

- The determinants can be calculated using the following steps [[5]](https://www.mathway.com/ru/popular-problems/Precalculus/475198): - Write the coefficient matrix in determinant notation. - Choose a row or column with the most elements and calculate the determinant. - Repeat the process for matrices obtained by replacing the columns with the constants.

3. Using Cramer's Rule: After calculating the determinants, we can use Cramer's Rule to find the values of x, y, and z.

- The values of x, y, and z can be calculated as follows: - x = det(Ax) / det(A) - y = det(Ay) / det(A) - z = det(Az) / det(A)

Where det(A) is the determinant of the coefficient matrix, and det(Ax), det(Ay), and det(Az) are the determinants obtained by replacing the respective columns of the coefficient matrix with the constants from the equations.

4. Final Solution: After calculating the determinants and applying Cramer's Rule, we can find the values of x, y, and z to solve the system of linear equations.

Let's proceed with the calculations and find the values of x, y, and z using Cramer's Rule.