Perform the Following: a) Solve the following systems of equations 2X + 8 Y –2 Z = -10; X + Y – 6 Z = -12; 6 X– 2Y – 2Z = -18

Perform the Following:
a)  Solve the following systems of equations
2X + 8 Y –2 Z = -10; X + Y – 6 Z = -12; 6 X– 2Y – 2Z = -18 
i)  Using the Gauss elimination method 
ii)  Using LU Decomposition method 
iii)  Discuss the pitfalls of Gauss Elimination method. 
b)  Solve the following system of equations: 
x + y - 2 = 0 ; - x + 3 y = 2; x - 2z = - 3 
Using Jacobi Method and Gauss Seidel method. Assumethe initial 
solution vector [0.8 0.8 2.1]
T
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