The techniques that are developed for solving linear systems are also applicable to systems with complex coefficients, whose solutions may also be complex. Use Gaussian Elimination to solve the following complex linear systems.
(a) - ix1 + (1 + i)x2 = -1
(1 - i)x1 +x2 = -3i
(b) i x + (I - i )z = 2i
2iy + (l + i)z = 2
-x + 2iy+iz = l - 2i
(c) (l-i)x + 2y=i
- ix + (1 + i )y = -1
(d) (1+ i)x+ iy + (2 + 2i)z = 0
(1 - i)x + 2y + iz = 0
(3 - 3i )x + i y + (3 - 11 i) z = 6