1. (System of Linear Equation) choose on one of the method below. Show manual calculation. Solve the system of equation using direct methods 2x₁ + x₂ + x3 - 11x4 = 1 5x₁ - 2x₁ + 5x3- = 5 4x4 = = 3 7₁-7₂ +373 - 3x4 3x + 47₂ - 7x3 +274 -7 a. Gauss Elimination b. LU Factorization c. Gauss Jordan method

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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please answer letter only b and c

1. (System of Linear Equation) choose on one of the method
below. Show manual calculation.
Solve the system of equation using direct methods
2x₁ + x₂ + x3 - 11x4 = 1
5x₁ - 2x₁ + 5x3-
= 5
4x4 =
= 3
7₁-7₂ +373 - 3x4
3x + 47₂ - 7x3 +2×4
-7
a. Gauss Elimination
b. LU Factorization
c. Gauss Jordan method
Transcribed Image Text:1. (System of Linear Equation) choose on one of the method below. Show manual calculation. Solve the system of equation using direct methods 2x₁ + x₂ + x3 - 11x4 = 1 5x₁ - 2x₁ + 5x3- = 5 4x4 = = 3 7₁-7₂ +373 - 3x4 3x + 47₂ - 7x3 +2×4 -7 a. Gauss Elimination b. LU Factorization c. Gauss Jordan method
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