MathLab

%A = fix(rand(3,3)*70-20);
%disp(A);
%disp(det(A));
%disp(rank(A));
%b = [];
%for i=1:3
%    b = [b A(i,3-i+1)];
%end
%disp(b);

% gamocdaze:
[x1 x2 x3 x4] = solve('x1+x2+x3-2*x4=4', '2*x1+3*x2-x3+x4=1', '4*x1-2*x2-6*x3+0*x4=2', '5*x1+4*x2-5*x3+2*x4=1')

clc
A = [1,2;3,4]
B = [3,5;5,9]
x = A\B
det(A)
rank(A)
det(B)
rank(B)

c = [1,2,3,4]
d = [5,6,7,8]
dot(c,d)

clc
eig(A)
eig(B)

[v, r] = eig(A)
[v, r] = eig(B)

clc
clear
syms x;
limit((x^3+1)/(x^2+1), x, -1)
limit(sqrt(1+cos(x))/sin(x), x, pi, 'right')

clc
clear
syms x y r a
r = 2*x + 3*y;
z = subs(r,{x,y}, {2,3})
diff(x^a, x, 1)

clc
clear
syms x
int(2*x^3+3*x-1, 0, 5)
quad(@(y)2*y.^3+3*y-1, 0, 5)
dblquad(@(y,z)2*y.^3+3*z-1, 0, 5, 0, 5)

clc
clear
x = 5;
p = [2 0 3 -1] %polinomis koeficientebi
polyval(p, x)

clc
clear
syms k
symsum((2*k-1)/(2^k), 1, 10)