Page 261 - MATLAB an introduction with applications

246 ——— MATLAB: An Introduction with Applications

The final solution is
1
2
3
MATLAB solution is
x =
1
2
3
Check with MATLAB built-in function:

>> A = [6 3 6;2 3 3;1 2 2];
b = [30;17;11];
>>
>> x=A\b

x =
1
2
3

Example E4.22: Using Choleski’s method, solve the following linear equations:
x + x + x = 7
1
3
2
3x + 3x + 4x = 23
1
2
3
2x + x + x = 10
2
3
1
Solution: The complete program and output are given below:
A = [1 1 1;3 3 4;2 1 1];
b = [7;23;10];
[L,U] = lu(A);
% solution of y
y = L\b;
%final solution x
x = U\y;
fprintf(‘Solution of the equations is\n’);
disp(x)
Solution of the equations is
3.0000
2.0000
2.0000