Determine which of the folilowing systems of linear equations has a solution. X1 + x2 - x, + 2x4 = 2 X1 + x2 + 2x3 2x1 + 2x2 + x, + 2x4 = 4 (b) x1 + x2 - X3 = 1 (2x1 + x2 + 3x3 = 2 (a) (d) ( x1 + x2 + 3x3 - x4 =0 Xị + x2 + X, + x4 = 1 X1 - 2x2 + X3 - x4 = 1 4x1 + x2 + 8x, - x4 = 0 X1 + 2x2 + 3x, = 1 X1 + x2 - x3 = 0 x1 + 2x2 + x3 = 3 (c) X1 + 2x, - x3 = 1 2x1 + x2 + 2x, = 3 X1 - 4x2 + 7x, = 4 . (e)
Determine which of the folilowing systems of linear equations has a solution. X1 + x2 - x, + 2x4 = 2 X1 + x2 + 2x3 2x1 + 2x2 + x, + 2x4 = 4 (b) x1 + x2 - X3 = 1 (2x1 + x2 + 3x3 = 2 (a) (d) ( x1 + x2 + 3x3 - x4 =0 Xị + x2 + X, + x4 = 1 X1 - 2x2 + X3 - x4 = 1 4x1 + x2 + 8x, - x4 = 0 X1 + 2x2 + 3x, = 1 X1 + x2 - x3 = 0 x1 + 2x2 + x3 = 3 (c) X1 + 2x, - x3 = 1 2x1 + x2 + 2x, = 3 X1 - 4x2 + 7x, = 4 . (e)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Determine which of the folilowing systems of linear equations has a solution.
X1 + x2 - x, + 2x4 = 2
X1 + x2 + 2x3
2x1 + 2x2 + x, + 2x4 = 4
(b) x1 + x2 - X3 = 1
(2x1 + x2 + 3x3 = 2
(a)
(d) ( x1 + x2 + 3x3 - x4 =0
Xị + x2 + X, + x4 = 1
X1 - 2x2 + X3 - x4 = 1
4x1 + x2 + 8x, - x4 = 0
X1 + 2x2 + 3x, = 1
X1 + x2 - x3 = 0
x1 + 2x2 + x3 = 3
(c)
X1 + 2x, - x3 = 1
2x1 + x2 + 2x, = 3
X1 - 4x2 + 7x, = 4 .
(e)
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