MATLAB: Need Help to Homework

matrix manipulationvectors

Hello,

Consider the matrix A=[2/3 -2/3; 2/3 7/3].
Consider 10000 equally spaced points on the unit circle in R2 (assume Euclidian
distance). The coordinates of each of these points define a column vector
v in R2. Compute w = Av for all points, interprete the resulting vectors
again as points in the plane, and draw all resulting points in one figure.

What i need to do?

Best Answer

My hint would be to use the LINSPACE command to generate equally spaced angles theta for the points. There is nothing in the homework exercise that asks for random points, so I'm not sure why you mention it.

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MATLAB: Need Help to find the error

r = 1;
x =r.*cos(theta);
y =r.*sin(theta);
plot(x,y,'.')
v = [x;y];
w=A*v;
xcoor=w(1,:);
ycoor=w(2,:);
figure,plot(xcoor,ycoor)
dist=sqrt(xcoor.^2+ycoor.^2)*2
min(dist)
max(dist)

If the origin of your ellipse is not (0,0) we can make translation

Also you don't need 10000 points, 5000 points are enough

dist=sqrt(xcoor(1:5000).^2+ycoor(1:5000).^2)

MATLAB: Help in Matlab Assigment (Plot Circles)

This is a frequently asked question, so see the FAQ

For your code, you need to modify it to take more points because going from 0 to 2*pi in steps of 1 makes for a pretty chunky circle. Make it like 1000 steps with linspace(). You also need to add x center to xunit and the y center to yunit to get the center in the right place, and pass in a 1x2 vector and pass out the coordinates of the circle's perimeter.

function [xunit, yunit] = circle(xy,r)
hold on
t = linspace(0, 2*pi, 1000); % 1000 points between 0 and 2*pi
xunit = r * cos(t) + xy(1);
yunit = r * sin(t) + xy(2);
plot(xunit, yunit);
grid on;
hold off

Then you call call it like

[x, y] = circle([10, 20], 5)

Best Answer

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MATLAB: Need Help to find the error

MATLAB: Help in Matlab Assigment (Plot Circles)

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