Solve the system of linear equation using matrix method, x - y + 2z = 7
3x + 4y - 5z = -5
2x - y + 3z = 12
The given system of equation can be expressed as AX = B, where
∴ A is non-singular matrix so A-1 exists.
A11 = 7, A12 = -19, A13 = -11, A21 = 1, A22 = -1, A23 = -1, A31 = -3, A32 = 11, A33 = 7.
on equating, we get x = 2, y = 1, z = 3
