Assertion: matrix's row | /r/HasProperty | dependent
Facets:
value: linearly
type: DEGREE
Source sentences:
text: As we have seen, when the rows of M are linearly dependent, the equations that M defines do not have unique solutions, which means that for some right hand sides there are lots of solutions and for some there are none.
text: One way to characterize the linear dependence of the rows (or columns, if the rows are linearly dependent and the matrix is square, then the columns are linearly dependent as well) in three dimensions is that the volume of the parallelepiped formed by the rows (or columns) of M is zero.