1) solve, if possible, the system of linear equations and obtain also the matrices l and u ൝ 3 = ݖ2 + ݕ3 + ݔ10 2=ݖ−ݕ+ݔ 0=ݖ+ݔ in matlab

main.m
A = [1 0 1; -1 1 1; 1 0 1];
b = [3; 2; 0];
[L, U] = lu(A); % Obtain the LU decomposition of A
y = L \ b; % Solve Ly = b
x = U \ y; % Solve Ux = y

% Display result
disp("Solution x:");
disp(x);
disp("Matrix L:");
disp(L);
disp("Matrix U:");
disp(U);
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main.m
Solution x:
    1.0000
    1.0000
   -2.0000

Matrix L:
    1.0000         0         0
   -1.0000    1.0000         0
    1.0000         0    1.0000

Matrix U:
    1.0000         0    1.0000
         0    1.0000    2.0000
         0         0   -2.0000
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main.m
L =
     1     0     0
    -1     1     0
     1     0     1

U =
      1     0     1
      0     1     2
      0     0    -2
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