(a) (b) x1 + x2+2x3 = 8 - x1-2x2 + 3x3 = 1 3x17x2 + 4x3 = 10 2x1 + 2x2+2x3 = 0 - 2x1 +5x2+2x3 = 1 8x1 + x2 + 4x3 = -1

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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Question
Solve Each Of The Following By Gaussian elimination.
(d)
(a)
(b)
(c)
x1 + x2 + 2x3 = 8
-x12x2 + 3x3 = 1
3x17x2 + 4x3 = 10
2x1 + 2x2 + 2x3 =
0
- 2x1 + 5x2 + 2x3 =
1
8x1 + x2 + 4x3 = -1
x -y + 2z w = -1
2x +y 2z2w = -2
-x+2y-4z + w= 1
- 3W-3
=
3x
- 26 +30=
1
3a +6b3c= -2
6a + 6b+ 3c= 5
Transcribed Image Text:(d) (a) (b) (c) x1 + x2 + 2x3 = 8 -x12x2 + 3x3 = 1 3x17x2 + 4x3 = 10 2x1 + 2x2 + 2x3 = 0 - 2x1 + 5x2 + 2x3 = 1 8x1 + x2 + 4x3 = -1 x -y + 2z w = -1 2x +y 2z2w = -2 -x+2y-4z + w= 1 - 3W-3 = 3x - 26 +30= 1 3a +6b3c= -2 6a + 6b+ 3c= 5
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