Implement the following matrix

I want implement a matrix which as follows:

where i is a subscript in my it will be a for loop which execute i=1:3 and theta,r,a,b,p,q,t arrays. theta,r,t are 1*3 matrix.a,b,p,q are 1*1 matrix.

The following is my approach:

theta = [ 45 46 48] ;
t= [ 1 2 3 ];
r= [200 210 220];
for i=1:3
     dif_x = [(-cos(theta(i))) (r(i).*sin(theta(i))) (2*a.*t(i)+b);...
         (-sin(theta(i))) (-r(i).*cos(theta(i))) (2*p.*t(i)+q)]
end

I want to know am I donig correct or not! and if I am wrong what will be the coorect approach.

Thanks in advance.

Answer 1

[Jan]

The code overwrites dif_x in each iteration. Maybe you want to collect the different matrices instead:

theta = [ 45 46 48] ;
t = [ 1 2 3 ];
r = [200 210 220];
dif_x = zeros(2, 3, 3);  % Pre-allocation
for i=1:3
     dif_x(:, :, i) = [-cos(theta(i)), r(i).*sin(theta(i)),  2*a.*t(i)+b;...
                       -sin(theta(i)), -r(i).*cos(theta(i)), 2*p.*t(i)+q];
end

It is safer to separate the elements of arrays by commas.

[Tipu Sultan]

Thank you for the prompt reply. Exactly I want to work with with each matrix for a particular iteration.