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2x1 3x1 - X11 - + 3x3 4x2+8x3 + 3x4 - 4x5 = - - x22x3 + x4 - == x5= -2x15x29x3 - 3x4 - 5x5 5 сл 2 -8

2x1 3x1 - X11 - + 3x3 4x2+8x3 + 3x4 - 4x5 = - - x22x3 + x4 - == x5= -2x15x29x3 - 3x4 - 5x5 5 сл 2 -8

Advanced Engineering Mathematics
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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Section 3.4: Number 2(j) only!

 

 

2. Use Gaussian elimination to solve the following systems of linear equa- tions. - x1 + 2x2 x3 = (a) 2x12x2 + x3 = 3x1 +5x2 x1 + 2x2 x1 - 2x2 2x13x2 1 (b) X3=1 x3 = 6 3x15x2 = 7 2x3 =-1 X1 +5x3 = 9 +2x4= = 6 x36x4 = 17 - X2 - (d) 3x1 +5x2 - (c) 2x14x2 x3 + 2x4 = 12 2x1 X1 2x1 - 7x311x4= 7 - x2+6x3 + 6x4 = -2 2x3 + 3x4 = -63 -2x1 + x2 - 4x3 3x4 == 0 3x12x29x3 + 10x4 = -5 - x1 - 4x2 x3 + x4 = 3 - x12x2 x3 + 3x4 = (e) 2x18x2 + x3 - 4x4 = -x14x22x3 +5x4 = - 2x12x2 x3 + 6x42x5 = 1 (g) - X1 x2 x3 2x4 - x5 = 2 4x14x2+5x3+7x4x5 = 6 9 (f) 2x14x2 6 X2 2 x3 + 6x4 = 5 + 2x4 = 3 =
Transcribed Image Text:2. Use Gaussian elimination to solve the following systems of linear equa- tions. - x1 + 2x2 x3 = (a) 2x12x2 + x3 = 3x1 +5x2 x1 + 2x2 x1 - 2x2 2x13x2 1 (b) X3=1 x3 = 6 3x15x2 = 7 2x3 =-1 X1 +5x3 = 9 +2x4= = 6 x36x4 = 17 - X2 - (d) 3x1 +5x2 - (c) 2x14x2 x3 + 2x4 = 12 2x1 X1 2x1 - 7x311x4= 7 - x2+6x3 + 6x4 = -2 2x3 + 3x4 = -63 -2x1 + x2 - 4x3 3x4 == 0 3x12x29x3 + 10x4 = -5 - x1 - 4x2 x3 + x4 = 3 - x12x2 x3 + 3x4 = (e) 2x18x2 + x3 - 4x4 = -x14x22x3 +5x4 = - 2x12x2 x3 + 6x42x5 = 1 (g) - X1 x2 x3 2x4 - x5 = 2 4x14x2+5x3+7x4x5 = 6 9 (f) 2x14x2 6 X2 2 x3 + 6x4 = 5 + 2x4 = 3 =
(h) - 3x1 X1 - - X2 X2 5x12x2 2x1- - X3 x4 + 2x5 5 - X3 - 2x4- x5 = 2 x3 - X2 - 3x43x510 2x4x5= 5 2x1 (j) X1 - -2x15x29x3 3x1 - (i) X1 x2 + 2x3 + 3×4 + 2x13x26x3 + 9x4 + 7x12x2+4x3 + 8x4 + x5 = + 3x3 3x14x2+8x3 + 3x4 x22x3x4 - 3x45x5=-8 x22x3 + 4x4 + x5 2 ×5 -1 4x5 = -5 6 - 4x5 5 8 - x5 = 2
Transcribed Image Text:(h) - 3x1 X1 - - X2 X2 5x12x2 2x1- - X3 x4 + 2x5 5 - X3 - 2x4- x5 = 2 x3 - X2 - 3x43x510 2x4x5= 5 2x1 (j) X1 - -2x15x29x3 3x1 - (i) X1 x2 + 2x3 + 3×4 + 2x13x26x3 + 9x4 + 7x12x2+4x3 + 8x4 + x5 = + 3x3 3x14x2+8x3 + 3x4 x22x3x4 - 3x45x5=-8 x22x3 + 4x4 + x5 2 ×5 -1 4x5 = -5 6 - 4x5 5 8 - x5 = 2
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