Creating a loop with for loop

How do you loop A11-A33 correctly?
function [determinant , inverse ] = invanddet3by3(A)
A11 = invanddet2by2sol(A([2,3], [2,3])); % Cofactors 3x3 matrix A
A12 = -invanddet2by2sol(A([2,3], [1,3]));
A13 = invanddet2by2sol(A([2,3], [1,2]));
A21 = -invanddet2by2sol(A([1,3], [2,3]));
A22 = invanddet2by2sol(A([1,3], [1,3]));
A23 = -invanddet2by2sol(A([1,3], [1,2]));
A31 = invanddet2by2sol(A([1,2], [2,3]));
A32 = -invanddet2by2sol(A([1,2], [1,3]));
A33 = invanddet2by2sol(A([1,2], [1,2]));
D = [A11 A12 A13; A21 A22 A23; A31 A32 A33]; % Adju Matrix
determinant = A(1,1) * A11 + A(1,2) * A12 + A(1,3) * A13; % Deter of A
if determinant == 0
inverse=[];
else
inverse = D' / determinant; % Inv of A
end
end

4 个评论

What do you mean?
I have to create a loop so that code lines 2-10 are simplified
"I have to create a loop so that code lines 2-10 are simplified"
Then don't use numbered variables.
Using numbered variables is a sign that you are doing something wrong.
(Answers Dev) Restored edit

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 采纳的回答

solution:
function [determinant , inverse ] = invanddet3by3(A)
D=zeros(3);
s=[2 3; 1 3; 1 2];
for k=1:size(D,1)
for j=1:size(D,2)
D(k,j)=(-2*mod(k+j,2)+1)*invanddet2by2sol(A(s(k,:),s(j,:)));
end
end
determinant=sum(A(1,:).*D(1,:));
if determinant == 0
inverse=[];
else
inverse = D' / determinant; % Inv of A
end
end

3 个评论

Just a small question :
Can you explain a bit more in detail how you got the loop function "for" and if possible simplify it ?
Thank you Jesus!
yes, it is even possible to eliminate the for cycle, and receive any dimension input, basically if the sum of the row and the column gives odd then it is multiplied by -1 otherwise multiplied by 1 ((-2 * mod (k + j, 2) +1 ) -> 2x-1 --> if x==1 then y=1 else if x==0 then y=-1), I also noticed that the number 1 corresponds [2,3], the number 2 corresponds [1,3] and so on
Comment posted as answer by Miguel Anliker:
Thank you for the explanation.

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