1. Solve the following system of linear equations xi + 2x2 + 3x3 + 4x4 + 5xs = 5 2x1 - 3x2 + 4.x3 - 5x + x5 = 10 %3D X1 + x2 – X3 – X4 + xz = 8 5x1 – 4x2 – 3x3 +2x4 + x5 = 9 3x1 + 4.x2 - 3x3 - 4x4+6x5 = 7 4 using (a) Direct algebraic manipulation, e.g., inverse multiplication. (b) Gaussian Elimination.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Solve the following system of linear equations
xi + 2x2 + 3x3 + 4x4 + 5x5 = 5
2x1 – 3x + 4x3 – 5x* + x5 = 10
xi + x2 – X3 – x4 + x5 = 8
5x1 – 4.x2 – 3x3 + 2x4 + x5 = 9
3x1 + 4x2 – 3x3 – 4x4 + 6x5 = 7
using
(a) Direct algebraic manipulation, e.g., inverse multiplication.
(b) Gaussian Elimination.
(c) LU Decomposition.
Transcribed Image Text:1. Solve the following system of linear equations xi + 2x2 + 3x3 + 4x4 + 5x5 = 5 2x1 – 3x + 4x3 – 5x* + x5 = 10 xi + x2 – X3 – x4 + x5 = 8 5x1 – 4.x2 – 3x3 + 2x4 + x5 = 9 3x1 + 4x2 – 3x3 – 4x4 + 6x5 = 7 using (a) Direct algebraic manipulation, e.g., inverse multiplication. (b) Gaussian Elimination. (c) LU Decomposition.
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