% 5
d = 0.85;
A = [0 1 0;0 0 1;1 0 0]
A = 3×3
0
0
1
1
0
0
0
1
0
M = eye(3) - d*A';
b = (1-d)/3 * ones(3,1);
r = M\b
r = 3×1
0.3333
0.3333
0.3333
% 6
det(eye(3) - A')
ans =
0
det(eye(3) - 0.85*A')
ans =
0.3859
% 7
A2 = A * A;
disp(A2);
0
1
0
0
0
1
1
0
0
% 8
[L, U] = lu(M);
y = L\b;
r_8 = U\y;
disp(r_8);
0.3333
0.3333
0.3333
1