The system of equations can be written in the form AX = B, where
Now
= 9 + 12 – 3 = 18 ≠ 0
Non-singular matrix.
A11 = (0 + 9) = 9, A12 = -(0 – 6) = 6, A13 = (-3 – 0) = -3
A21 = – (0 + 3) = -3, A22 = (0 – 2) = -2
A23 = -(-3 – 4) = 7
A31 = (6 – 0) = 6, A32 = -(-3 – 1) = -2, A33 = (0 – 2) = -2
Thus x = 2, y = 1 and z = 3.