Assertion: determinant | /r/HasProperty | nonzero
Facets:
value: in particular, ifare pairwise disjoint
type: OTHER
Source sentences:
text: As shown by Cramer's rule, a nonhomogeneous system of linear equations has a unique solution iff the determinant of the system's matrix is nonzero (i.e., the matrix is nonsingular).
text: A matrix is invertible if and only if its determinant is nonzero.
text: Any matrix has a unique inverse if its determinant is nonzero.
text: It can be proven that any matrix has a unique inverse if its determinant is nonzero.
text: A matrix is nonsingular if and only if its determinant is nonzero.
text: Problem 6 Describe the solution set of a homogeneous linear system if the determinant of the matrix of coefficients is nonzero.
text: In particular, ifare pairwise disjoint, the determinant is nonzero.