Assertion: determinant's row | /r/HasProperty | equal
Facets:
Source sentences:
text: If two rows or two columns are equal, the determinant vanishes: Exchanging two rows or two columns changes the sign of the determinant.
text: Two rows or columns are equal.
text: } In particular, the first rows of V and W are equal, and the factor M j − i ( x i − 1 ,
text: Property four is if two rows are equal, the determinant is zero.
text: Of course, because those rows were equal.
text: Property four says that this determinant is zero, has two equal rows.
text: we have Then, where: in step we have used the fact that all rows of are equal to the rows of , except the -th and -th, which are interchanged; in step we have used the definition of the permutation given above.
text: Since the first and second rows are now equal, we know the value of the determinant is zero.
text: Also, if any coordinates or single-particle wave functions are identical, two rows or columns will be equal, and the determinant will be identically zero.