Solve: 1] Use Gaussian Elimination Method. 2X + Y+Z 4 0.1X - 0.1Y + 0.1Z = 0.4 3X + 2Y +Z = 2 X-Y+Z = 4 -2X + 2Y -2Z = -8

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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Solve:
1] Use Gaussian Elimination Method.
2X + Y +Z = 4
0.1X - 0.1Y + 0.1Z = 0.4
3X + 2Y + Z = 2
X- Y+Z = 4
-2X + 2Y -2Z = - 8
2] Find the values of X, Y, and Z.
(3+i)X - 3Y + (2+i)z = 3+4i
2X + Y- Z = 2+i
3X + (1+i)Y -4Z = 5+ 2i
3] Use determinants to find the values of X, Y, Z, W, N.
8X - 3Y + Z+ 5W - 4N = 21
5X + Y + 7Z - 13W + 15N = 27
7X + 3Y + 4Z - 18W - 12N = 35
11X - 7Y - Z+ 9w + 15N = 50
15X + 10Y - 7Z + 2W + 8N = 19
4] Find and solve the value of X in the equation:
5cosX = 4 - X
Transcribed Image Text:Solve: 1] Use Gaussian Elimination Method. 2X + Y +Z = 4 0.1X - 0.1Y + 0.1Z = 0.4 3X + 2Y + Z = 2 X- Y+Z = 4 -2X + 2Y -2Z = - 8 2] Find the values of X, Y, and Z. (3+i)X - 3Y + (2+i)z = 3+4i 2X + Y- Z = 2+i 3X + (1+i)Y -4Z = 5+ 2i 3] Use determinants to find the values of X, Y, Z, W, N. 8X - 3Y + Z+ 5W - 4N = 21 5X + Y + 7Z - 13W + 15N = 27 7X + 3Y + 4Z - 18W - 12N = 35 11X - 7Y - Z+ 9w + 15N = 50 15X + 10Y - 7Z + 2W + 8N = 19 4] Find and solve the value of X in the equation: 5cosX = 4 - X
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