Assertion: matrix's determinant | /r/HasProperty | the product of the eigenvalues
Facets:
Source sentences:
text: the eigenvalues of a real skew-symmetric matrix are purely imaginary (see below) and to every eigenvalue there corresponds the conjugate eigenvalue with the same multiplicity; therefore, as the determinant is the product of the eigenvalues, each one repeated according to its multiplicity, it follows at once that the determinant, if it is not 0, is a positive real number.
text: Then the determinant of A is the product of all eigenvalues,
text: In two variables, the determinant can be used, because the determinant is the product of the eigenvalues.