matlab代码生成三阶行列式迭代法

输出三阶行列式的 Matlab 代码如下：

function result = determinant(A)
% A: 3x3 matrix
% result: determinant of A

a1 = A(1,1);
a2 = A(1,2);
a3 = A(1,3);
b1 = A(2,1);
b2 = A(2,2);
b3 = A(2,3);
c1 = A(3,1);
c2 = A(3,2);
c3 = A(3,3);

result = a1*b2*c3 + a2*b3*c1 + a3*b1*c2 - a3*b2*c1 - a1*b3*c2 - a2*b1*c3;
end

使用迭代法求解三阶行列式的 Matlab 代码如下：

function result = determinantIterative(A)
% A: 3x3 matrix
% result: determinant of A

[row, col] = size(A);
if row ~= col || row ~= 3
    error("A must be a 3x3 matrix");
end

% first iteration: calculate diagonals
d1 = A(1,1);
d2 = A(2,2);
d3 = A(3,3);

% second iteration: calculate off-diagonal products
od1 = A(1,2) * A(2,3);
od2 = A(1,2) * A(3,2);
od3 = A(2,1) * A(3,1);

% third iteration: calculate det
result = d1*d2*d3 + d1*od1*2 + d2*od2*2 - d3*od3*2 - d1*A(3,2)*A(2,3) - d2*A(1,2)*A(3,1);
end

以上代码可以计算任意 3x3 矩阵的行列式，您可以将一个 3x3 矩阵代入这个函数。