I need to know a function to calculate the cofactor of a matrix, thank a lot!

7 个评论

cofactor matrix for a matrix A is just det(A)*inv(A)
Zoe Herrick
Zoe Herrick 2018-9-14
编辑:Walter Roberson 2018-9-15
det(A)*inv(A) gives the adjugate or classical adjoint of matrix A which is the Transpose of the cofactor matrix.
This wiki article gives a brief layout of this:
Here I leave this code, I hope it helps. Regards..
function v = adj(M,i,j)
t=length(M);
v=zeros(t-1,t-1);
ii=1;
ban=0;
for k=1:t
jj=1;
for m=1:t
if ( (i~=k)&&(j~=m) )
v(ii,jj)=M(k,m);
jj++;
ban=1;
endif
endfor
if(ban==1)ii++;ban=0;endif
endfor
ii++ is not valid MATLAB though. And endif and endfor are not MATLAB either.
I wrote this in GNU/Octave but I guess it should work on MATLAB
function cofactor = matrizCofactores(A)
[rows, cols] = size(A);
if rows == cols
for i = 1 : rows,
for j = 1 : cols,
Menor = A;
Menor(i,:) = [];
Menor(:,j) = [];
if mod((i+j),2) == 0
cofactor(i,j) = det(Menor);
else
cofactor(i,j) = -det(Menor);
endif
endfor
endfor
endif
endfunction
What is "menor" short for?
I suspect that the English word would be "minor". The Spanish word "menor" can be translated as English "minor" in some situations.

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 采纳的回答

Walter Roberson
Walter Roberson 2012-2-2

1 个投票

10 个评论

Walter, thanks for your answer.. Where I have to save the function (.m) and what name i must to give to the file (.m)?
Save the file in any directory on your matlab path, or save it in a directory and use the path tool to add that directory to your matlab path.
Name the file anything that is convenient and which is a valid matlab variable name (starts with a letter, letters or digits or underscore after, 63 characters max, is not a reserved word). Naming it the same thing as another existing MATLAB routine would usually cause Problems.
As there is no MATLAB cofactor command, naming it cofactor.m would seem appropriate.
Walter, when I save the file appear a message saying that I don't have permissions to do that.. and when I try to add it appear a message too and don't let me add. Thank you!
But anyway the code is working and given the cofactor without saving.. I just wanna know why I can't save the function, thanks
Walter,
I get it, Im using Windows 7 and a Matlab 7.12, I just click in a green icon on the Editor that say RUN, and after appear a windows asking to add to a PATH.. and say YES ... I thing the code is in the livrary now.. and it's working so fine.. thanks a lot
Yes.. this work, but when I close Matlab and open again.. not work
Did you try the solutions in the second link?
Yes, I right-click on the shortcut and select to run as administrator. And I save the function on the lib file, and the function work with matrix.. But when I close and open again the function when I try to use the function a message say that it is Undefined..
Walter,
I thing I get it.. I forget to add the function to the PATH through the SET PATH in the menu file.. Thank you very much for all..
Just one question more.. Matlab run in linux? what distribution is better?

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更多回答(2 个)

A = [
2 4 1
4 3 7
2 1 3
]
detA = det(A)
invA = inv(A)
cofactorA = transpose(detA*invA)

2 个评论

Here I leave this code, I hope it helps. Regards
function v = adj(M,i,j)
t=length(M);
v=zeros(t-1,t-1);
ii=1;
ban=0;
for k=1:t
jj=1;
for m=1:t
if ( (i~=k)&&(j~=m) )
v(ii,jj)=M(k,m);
jj++;
ban=1;
endif
endfor
if(ban==1)ii++;ban=0;endif
endfor
This is not MATLAB code. It might be Octave.

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Francisco Trigo
Francisco Trigo 2020-2-6

0 个投票

The matrix confactor of a given matrix A can be calculated as det(A)*inv(A), but also as the adjoint(A). And this strange, because in most texts the adjoint of a matrix and the cofactor of that matrix are tranposed to each other. But in MATLAB are equal. I found a bit strange the MATLAB definition of the adjoint of a matrix.

1 个评论

adjoint matrix is ​​the transpose of the cofactor matrix so the above result is correct

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