Solve the linear system using an inverse matrix.
-x + 2y + 3z = -1
x + y + z = -3
-x + y + 2z = 11
A)(30, -47, -16)
B)(7, 4, 0)
C)(-1, -12, -22)
D)(-9, 10, -4)

Question

Solve the linear system using an inverse matrix.
-x + 2y + 3z = -1 
x + y + z = -3 
-x + y + 2z = 11
A)(30, -47, -16)
B)(7, 4, 0)
C)(-1, -12, -22)
D)(-9, 10, -4)

Quizplus · Accepted Answer

To solve the system using an inverse matrix, we first write it in matrix form AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix. The inverse of A is used to find X = A^(-1)B. Calculating this gives the solution (-9, 10, -4).

Solve the Linear System Using an Inverse Matrix