matrix retrieving given certain determinant
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dear all i want to retrieve matrix 3x3 with given determinant thanks
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John D'Errico
le 9 Fév 2021
You want to generate a random matrix with a known determinant?
n = 7; % The size of the matrix
Dtarget = 12; % My target determinant
A = randn(n);
DA = det(A);
A = A*sign(DA)*nthroot(Dtarget/abs(DA),n)
Was I successful?
det(A)
Do you want another solution?
n = 5;
A = rand(n);
Dtarget = 17; % My target determinant
[L,U] = lu(A);
L(1,:) = L(1,:)*sign(prod(diag(U)));
U(1:n+1:end) = nthroot(Dtarget,n);
A = L*U
det(A)
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