# solve questions 2 and 3 don’t use computer for question 2 : Question 1: Solve the following system of equations by LU decomposition. 4×1 +

solve questions 2 and 3 don’t use computer for question 2 : Question 1:
Solve the following system of equations by LU decomposition.
4×1 + 3×2 + 14×3 = 15
-4×1 + 5×2 + 3×3 = -6
16×1 – 4×2 + 4×3 = 24
Question 2:
Solve the system of equations given in question-1 by Gauss-Seidel method using the initial guesses
x,(0) = x2(0) = x30) = 0 and an error less than 0.01%.
Question 3:
Write computer codes using any programming language for one of the following methods to solve a
linear equation system.
1- Gaussian elimination.
2- LU decomposition.
3- Gauss-Seidel iterations.
Execute the program for the linear equation system given in question-1.

(550 words)

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