Question

Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no solution, enter SOLUTION. If the system has an infinite number of solutions, express x1,x2, and x3 in terms of the parameter t.) 2x1+x2−2x3=4x1+2x3=−4x1+5x2−17x3=512−17

Answer 1

To solve the system of linear equations, write the equations in matrix form and use Gaussian elimination and back substitution to find the solution.

Step-by-step explanation:

To solve the given system of linear equations:

1. Write the system of equations in matrix form, as AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.
2. Apply Gaussian elimination to transform the augmented matrix [A|B] into a row-echelon form.
3. Use back substitution to solve for the values of the variables.

By following these steps, you can find the solution to the given system of linear equations.

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