Question Solve the system using the given inverse coefficient matrix: $x + 2y + 3z = -3$, $x + y + z = 4$, $-x + y + 2z = -2$.

Studdy Solution
Perform the matrix multiplication to find the solution vector x$$x = \begin{bmatrix} 1*(-3) -1*4 -1*(-2) \\ -3*(-3) +5*4 +2*(-2) \\ 2*(-3) -3*4 -1*(-2) \end{bmatrix} = \begin{bmatrix} -1 \\ 23 \\ -14\end{bmatrix}$$So, the solution to the system of equations is x = -1, y =23, z = -14.