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Cofactor Matrix Generator
by Angelica Ochoa
Generates a matrix of cofactor values for an M-by-N matrix.
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| cof=cof(a);
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function cof=cof(a);
%
% COF=COF(A) generates matrix of cofactor values for an M-by-N matrix
% A : an M-by-N matrix
%
% Example: Find the cofactor matrix for A.
%
% A = 1 3 1
% 1 1 2
% 2 3 4
%
% >>cof=cof(A)
%
% cof =
%
% -2 0 1
% -9 2 3
% 5 -1 -2
%
%
% Angelica Ochoa
% Boston University
% aochoa09@bu.edu
% Last Modified: 8-Feb-2012
%% Check Input Argument
%----------------------
if isempty(a)
error(message('cof:EmptyMatrix'));
end
%% Algorithm
%-----------
[r c] = size(a); %determine size of input
m = ones(r,c); %preallocate r x c cofactor matrix
a_temp=a; %create temporary matrix equal to input
for i = 1:r
for k = 1:c
a_temp([i],:)=[]; %remove ith row
a_temp(:,[k])=[]; %remove kth row
m(i,k) = ((-1)^(i+k))*det(a_temp); %compute cofactor element
a_temp=a; %reset elements of temporary matrix to input elements
end
end
cof=m; %return cofactor matrix as output variable
end
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