Solve all the variables using Gaussian Elimination with backward substitution. Show complete Solutions.

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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1. Solve all the variables using Gaussian Elimination with
backward substitution. Show complete Solutions.
13x1 + 72x2 + 57x3 + 94x4 + 90x5 + 92x6 + 35x7 = 453
40x1 + 93x2 + 90x3 + 99x4 +x5 + 95x6 + 66x7 = 484
48x1 + 91x2 +71x3 + 48x4 + 93x5 + 32x6 + 67x7= 450
7x1 + 93x2 + 29x3 + 2x4 + 24x5 + 24x6 + 7x, = 186
41x1 + 84x2 + 44x3 + 40x4 + 82x5 + 27x6 + 49x7= 367
3x1 + 72x2 + 6x3 + 33x4 + 97x5+ 34x6 + 4x7 = 249
43x1 + 82x2 + 66x3 + 43x4 + 83x5 + 29x6 + 61x7= 407
Transcribed Image Text:1. Solve all the variables using Gaussian Elimination with backward substitution. Show complete Solutions. 13x1 + 72x2 + 57x3 + 94x4 + 90x5 + 92x6 + 35x7 = 453 40x1 + 93x2 + 90x3 + 99x4 +x5 + 95x6 + 66x7 = 484 48x1 + 91x2 +71x3 + 48x4 + 93x5 + 32x6 + 67x7= 450 7x1 + 93x2 + 29x3 + 2x4 + 24x5 + 24x6 + 7x, = 186 41x1 + 84x2 + 44x3 + 40x4 + 82x5 + 27x6 + 49x7= 367 3x1 + 72x2 + 6x3 + 33x4 + 97x5+ 34x6 + 4x7 = 249 43x1 + 82x2 + 66x3 + 43x4 + 83x5 + 29x6 + 61x7= 407
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