5x + 2y 2x +y -z= 0 2x + 3y – z = 3 = 2 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the following systems of linear equation using Gauss Elimination method. Also, write their L and U matrices
= 2
2x +y - z = 0
2х + 3у -z 3 3
x -y+5z = V2
V5x
x+ y+z= 0
7.
5x + 2y
1.
4.
+z = V3
-х-у+ 3z3 3
2
Ex + 3y + 2z = 5
-х-у-232
2x - y+ 3z = 5
2x + 2y + 3z = 7
-2x + 3y
2.
3x+ 4y-z = -6
3x – y – z= 0
= -3
5.
8.
-2y+ 10z= -8
I+y= 5
2x – 3z = 2
4y-2z= -2
x + 2y + 3z = 1
-3x – 2y - z = 2
4x + 4y + 4z = 3
3.
-7х-Зу+ 3z%3D 12
6.
2x+ 2y+2z= 0
-x-4y+3z=-9
Use Trapezoidal rule and Simpson's 1/3 rule to get the integration done
1.
Evaluate fo'e*dx,
4.
f(x) = 0.2 + 25x – 200x² + 675x² – 900x* + 400x
-
from a = 0 to b = 0.8. Recall that the exact integral is 1.640533.
8
2.
Vadz.
5.
(6 + 3 cos x) dx
da
3.
1
x - 4x + 2x)dx
6.
Transcribed Image Text:Solve the following systems of linear equation using Gauss Elimination method. Also, write their L and U matrices = 2 2x +y - z = 0 2х + 3у -z 3 3 x -y+5z = V2 V5x x+ y+z= 0 7. 5x + 2y 1. 4. +z = V3 -х-у+ 3z3 3 2 Ex + 3y + 2z = 5 -х-у-232 2x - y+ 3z = 5 2x + 2y + 3z = 7 -2x + 3y 2. 3x+ 4y-z = -6 3x – y – z= 0 = -3 5. 8. -2y+ 10z= -8 I+y= 5 2x – 3z = 2 4y-2z= -2 x + 2y + 3z = 1 -3x – 2y - z = 2 4x + 4y + 4z = 3 3. -7х-Зу+ 3z%3D 12 6. 2x+ 2y+2z= 0 -x-4y+3z=-9 Use Trapezoidal rule and Simpson's 1/3 rule to get the integration done 1. Evaluate fo'e*dx, 4. f(x) = 0.2 + 25x – 200x² + 675x² – 900x* + 400x - from a = 0 to b = 0.8. Recall that the exact integral is 1.640533. 8 2. Vadz. 5. (6 + 3 cos x) dx da 3. 1 x - 4x + 2x)dx 6.
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