Solve the matrix equation.
-$\left[ \begin{array} { r r r } 2 & 8 & 6 \ 4 & 2 & - 2 \ 3 & - 1 & 1 \end{array} \right] \left[ \begin{array} { l } x \ y \ z \end{array} \right] = \left[ \begin{array} { l } 20 \ - 2 \ 11 \end{array} \right]$
A) $x = 2 , y = - 1 , z = 4$
B) $x = 2 , y = 1 , z = 6$
C) $x = - 1 , y = 6 , z = 1$
D) $x = - 1 , y = 2 , z = 1$

Question

Quizplus · Accepted Answer

To solve the matrix equation, we can use the method of matrix inversion or Gaussian elimination. The solution $x = 2, y = -1, z = 4$ satisfies the given matrix equation when we substitute these values back into the equation.

Solve the Matrix Equation A) x=2,y=−1,z=4x = 2 , y = - 1 , z = 4x=2,y=−1,z=4

Solve the Matrix Equation A) $x = 2 , y = - 1 , z = 4$