Samenvatting MATLAB deel wiskunde: alle oefeningen

OEF 1

clear;

pi/4 + pi/3 - pi/11

ans = 1.5470




OEF 2

clear;

exp(-j*pi/4)

ans = 0.7071 - 0.7071i

z = -sqrt(2)/3 -j*sqrt(5)/2;
r = abs(z)

r = 1.2134

hoek = angle(z)

hoek = -1.9698




OEF 3

clear;

z1 = 3 + 2*j

z1 = 3.0000 + 2.0000i

z2 = 1 - j

z2 = 1.0000 - 1.0000i

som = z1 + z2

som = 4.0000 + 1.0000i

product = z1 * z2

product = 5.0000 - 1.0000i

quotient = z1 / z2

quotient = 0.5000 + 2.5000i




OEF 4

clear;

1

, z = sqrt(2)*exp(3*pi/4*j)

z = -1.0000 + 1.0000i

imaginair = imag(z)

imaginair = 1.0000

reeel = real(z)

reeel = -1

z2 = conj(z)

z2 = -1.0000 - 1.0000i

r = abs(z2)

r = 1.4142

hoek = angle(z2)

hoek = -2.3562

rad2deg (hoek)

ans = -135




OEF 5

clear;

B = [1 : 2 : 9];
C = ones(18,1);
A = C*B

A = 18×5
1 3 5 7 9
1 3 5 7 9
1 3 5 7 9
1 3 5 7 9
1 3 5 7 9
1 3 5 7 9
1 3 5 7 9
1 3 5 7 9
1 3 5 7 9
1 3 5 7 9




OEF 6

clear;

A = [1:9];

2

, B = [1:9];
for k=2:5
B = cat(1,B,A.^k);
end
B

B = 5×9
1 2 3 4 5 6
1 4 9 16 25 36
1 8 27 64 125 216
1 16 81 256 625 1296
1 32 243 1024 3125 7776




OEF 7

clear;

A = [1 : 1 : 100];
A2 = A.^2;
sum(A2)

ans = 338350




OEF 8

clear;

a = [1,2,0];
b = [3,0,-3];
c = [5,2,6];

% opp = 1/2* norm(U x V)
u = b - a;
v = c - a;
product = cross(u,v);
opp = 1/2 * norm(product)

opp = 14




OEF 9

clear;

t_rij = 0:0.1:1;
f_rij = (t_rij)./(1+sqrt(t_rij));

% gem = som van alle f gedeeld door n (aantal f)
gem = sum(f_rij)/length(f_rij)

gem = 0.2772




3

, OEF 10

clear;

syms a b c
[a,b,c] = solve(a+b+c==5, c==2/3*(a+b), a^2+b^2 ==c^2)

a =




b =




c =




%complexe getallen dus geen reele opl




4