Determine if the following systems are compatible and, if so, find the general solution: (a) 6x1 +3x2

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Determine if the following systems are compatible and, if so, find the general solution:
(a) 6x1 +3x2 = 12
4x1 + 2x2 = 9
(b) 8x1 + 12x2 = 16
6x1 + 9x2 = 13
(c) x1 + 2x2 = 1
2x1 + 5x2 = 2
3x1 + 6x2 = 3
(d) 2x1 - 6x2 + 4x3 = 2
- xi + 3x2 - 2x3 = -1
(e) 2x1 + 2x2 + 3x3 = 1
x2 + 2x3 = 3
4x1 + 5x2 + 7x3 = 15
(f) x1 + x2 + x3 + 9x4 = 8
x2 + 2x3 + 8x4 = 7
- 3x1 + x3 - 7x4 = 9
(g) x1+2x2+ 3x3+ 4x4 = 1
2x1 + 4x2 + 6x3 + 5x4 = 0
3x1 + 4x2 + x3 + x4 = 0,
4x1 + 6x2 + 4x3 - x4 = 0
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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