Assertion: matrix's value | /r/CapableOf | equal the area
Facets:
value: in r
type: LOCATION
Source sentences:
text: Its absolute value equals the area (in R 2 {\displaystyle \mathbb {R} ^{2}} ) or volume (in R 3 {\displaystyle \mathbb {R} ^{3}} ) of the image of the unit square (or cube), while its sign corresponds to the orientation of the corresponding linear map: the determinant is positive if and only if the orientation is preserved.