Question: ( 2 0 pts . ) Let the linear system of equations 1 0 x 1 - 2 x 2 + x 3 = 1

(20pts.) Let the linear system of equations
10x1-2x2+x3=12
x1+9x2-x3=10
2x1-x2+11x3=20
be given.
Show that the coefficient matrix is positive definite.
Compute Cholesky factorization of the coefficient matrix.
Solve the system by hand using Gauss-Seidel method in two iterations.
Implement and print the results in MATLAB.
( 2 0 pts . ) Let the linear system of equations

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