use Gauss elimination with back substitution Solve the following system 2X1 + 3X2+6 х3 +4х4 = 49 -3X1 +6x2 -2X3 +6XY = 27 + 8x2 + 4x3 + 2xy = 65 + 3x2 +3X3 + 8X4 = 65 9x1 6X1

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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use Gauss elimination with back substitution
Solve the following system
2X1 +3X2+6 X3 +4х4 =49
-3X1
+6×2 -2 X3 +6X4 = 27
+ 8×2 + 4×3 +2×4 = 65
+ 3x2
+3X3 +8XY = 65
9x1
6×1
Transcribed Image Text:use Gauss elimination with back substitution Solve the following system 2X1 +3X2+6 X3 +4х4 =49 -3X1 +6×2 -2 X3 +6X4 = 27 + 8×2 + 4×3 +2×4 = 65 + 3x2 +3X3 +8XY = 65 9x1 6×1
Expert Solution
Step 1

Given system is

    2x1 +3x2 +6x3 +4x4 =49-3x1 +6x2 -2x3 +6x4 =27    9x1 +8x2 +4x3 +2x4 =65    6x1 +3x2 +3x3 +8x4 =65

 

Rewrite the system in Matrix Form:-

2364-36-2698426338 x1x2x3x4 = 49276565

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