Question

Hi guys, this one needs to be done in MATLAB.thnx in advance. The capital letter N is determined by 8 points(given matrix in last picture, the first line of that matrix are these 8 points).The coordinates of these points can be stored in matrix A. Try to find a 3 * 3 matrix,It corresponds to multiplied by multiplied by 0.5, and then rotates 90 degrees, in the end each point of coordinate are added (-0.5,2) for translation .The program is required to display the following transformations also need to do the same with M letter(both need Matlab code):

하. 5 아 아 μ , … 10 0 5 10 10 10 .5 .5 .5 6 10 5 10

Answer 1

MATLAB CODE:

% GIVEN MATRIX A

A = [[0 0.5 0.5 6 6 5.5 5.5 0];[0 0 6.42 0 8 8 1.58 8];[1 1 1 1 1 1 1 1]];

%Now Plot A

subplot(2,2,1);

ax1 = plot(A(1,:),A(2,:));

axis([-5 10 -5 10]);

grid on;

xlabel('(1)');

%Scaling Matrix T1 scales A by 0.5

T1 = [[0.5 0 0];[0 0.5 0];[0 0 0.5];];

%Now Plot transformed A

subplot(2,2,2);

A = T1*A;

plot(A(1,:),A(2,:));

axis([-5 10 -5 10]);

grid on;

xlabel('(2)');

%Rotation Matrix T2 rotates A by 90*

T2 = [[0 -1 0];[1 0 0 ];[0 0 1]];

%Now Plot rotated A

subplot(2,2,3);

A = T2*A;

plot(A(1,:),A(2,:));

axis([-5 10 -5 10]);

grid on;

xlabel('(3)');

%Matrix T3 used to add (-0.5, 2) to each point if A

T3 = [-0.5;2;0];

%Add given coordinates to each coloumn of A

for i = 1:8

    A(:,i) = T3+A(:,i);

end

%Now Plot final A

subplot(2,2,4);

plot(A(1,:),A(2,:));

axis([-5 10 -5 10]);

grid on;

xlabel('(4)');

OUTPUT:

10 10 -5 -5 -5 10 10 10 10 -5 -5 -5 10 -5 10