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determinant de bois

a guest Feb 17th, 2019 67 Never
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  1. function D=Determinant(A)
  2. [m,n] = size(A);
  3. if m~=n
  4.     error('MATRIX MUST BE SQUARE')
  5. elseif isequal(size(A),[4,4])
  6.     D = A(1,1)*Determinant(ignoreRowAndCol(A,1,1))...
  7.         - A(1,2)*(Determinant(ignoreRowAndCol(A,1,2))) ...
  8.         + A(1,3)*(Determinant(ignoreRowAndCol(A,1,3))) ...
  9.         - A(1,4)*(Determinant(ignoreRowAndCol(A,1,4)));
  10.     return
  11. elseif isequal(size(A),[3,3])
  12.     D = A(1,1)*(Determinant(ignoreRowAndCol(A,1,1)))...
  13.         - A(1,2)*(Determinant(ignoreRowAndCol(A,1,2))) ...
  14.         + A(1,3)*(Determinant(ignoreRowAndCol(A,1,3)));
  15.     return
  16. elseif isequal(size(A),[2,2])
  17.     D = (A(1,1)*A(2,2))-(A(1,2)*A(2,1));
  18.     return
  19. end
  20. end
  21.  
  22. function  B = ignoreRowAndCol(A,i,j)
  23. A(i,:)=[];
  24. A(:,j)=[];
  25. B = A;
  26. end
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