Answers to Exercise 1:

 

 

1:

 

t = 0:pi/100:2*pi;

plot(sin(t), cos(t));

hold on

plot(sin(t)*0.5, cos(t)*0.5);

plot(sin(t)*0.25, cos(t)*0.25);

 

 

2:

 

plot (sin(t) - 0.25, cos(t) - 0.25)

hold on

plot (sin(t) + 0.25, cos(t) - 0.25)

plot (sin(t) + 0.25, cos(t) + 0.25)

plot (sin(t) - 0.25, cos(t) + 0.25)

axis square

 

3:

 

a = rand(4,4)

sum(a)  %sum of columns

sum(a')'  %sum of rows

sum(sum(a)) % total sum

 

 

4:

 

plot(2 + sin(t) * 2, 2 + cos(t));

hold on

plot(2 + sin(t), 2 + cos(t) * 2);

axis square