%QUESTION 1 A
A = [ 2 -1  1;
     1 2 3;
     3 0  -1];
B = [8; 9; 3];
X = linsolve(A,B)

%QUESTION 1 B 𝑥2+ 5𝑥 + 6 = 0 
syms x
eqn1 = x^2 + 5*x + 6 == 0
solve (eqn1)


%QUESTION 2 A
syms a b
A = [2 0 1; 1 1 1; 2 -3 2]
B = [1 0 -1; 3 -3 2; 1 1 2]
eqn1 =  A * B
eqn2 = A - B
eqn3 = A + B
eqn4 = transpose(A)

%QUESTION 2 B
A = [1 1 1; 2 -1 3; 1 -3 4]
d= det(A)

%QUESTION 3
syms i j k 
a = 2*i - 2*j + k
b = 6*i - 3*j + 3*k
c=floor(a*b)

%Question 3B - 1
z = -1 + 2*i
w = 4 + i
eqn1 = z + 2*w
eqn2 = z*w
eqn3 = z/w

%QUESTION FOUR A
%1
syms x
q1 = 3*x^5;
diff(q1)

%2
syms x
q2 = sin(5*x)+ 3*x^6
diff(q2)

%3
syms x e
q3 = x*e^2^x
diff(q3)