A transformation of the form 
, where 
and 
is the determinant. Isometries are also called congruence transformations.
Congruence Transformation
See also
Congruent, Geometric Congruence, Isometry, Sylvester's Inertia LawExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Congruence Transformation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CongruenceTransformation.html