Assertion: determinant | /r/CapableOf | provide important information
Facets:
value: in many types of problems
type: OTHER
Source sentences:
text: The determinant provides important information when the matrix is that of the coefficients of a system of linear equations, or when it corresponds to a linear transformation of a vector space: in the first case the system has a unique solution exactly when the determinant is nonzero; when the determinant is zero there are either no solutions or many solutions.
text: The determinant provides important information in many types of problems, for example, when the matrix represent the coefficients of a system of linear equations...