Determine the general (complex) solution to the following systems: (a) 2x + (1 + i)y - 2iz

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Determine the general (complex) solution to the following systems:
(a) 2x + (1 + i)y - 2iz = 2i
(1 - i) x+y-2iz = 0
(b) x + 2 i y + (2 - 4 i )z = 5 + 5 i
(-1 + i)x + 2y + (4 + 2i)z = 0
(1 - i)x + (l + 4i)y-5iz = 10 + 5i
(c) x1 + 1x2 + x3 = 1 + 4 i
-x1 +x2 - ix3 = -1
Ix1 - x2 - x3 = - 1 - 2i
(d) (2 + i)jc + iy + (2 + 2i)z + (1 + 12i)w = 0
(1 - i)x +y + (2 - i)z + (8 + 2i)w = 0
(3 + 2i)x+ iy + (3 + 3i)z + 19iw = 0
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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