Question

Find the set of solutions for the given linear system: -2x1 + x2 + 2x3 = 1, -3x3 + x4 = -4?

Answer 1

To find the set of solutions for the given linear system, we can use Gaussian elimination or substitution method.

Step-by-step explanation:

To find the set of solutions for the given linear system: -2x1 + x2 + 2x3 = 1, -3x3 + x4 = -4, we can use Gaussian elimination or substitution method.

1. Gaussian elimination: We can write the augmented matrix for the system and perform row operations to reduce the matrix to row-echelon form. By doing this, we can determine the values of the variables.
2. Substitution method: We can solve one equation for one variable and substitute the value into the other equation. By doing this, we can determine the values of the variables.

Using either method, we can find the values of the variables that satisfy both equations and thus determine the set of solutions.