Orthogonaltransformation
An orthogonal transformation is a linear transformation of a vector space that preserves the dot product of vectors. In simpler terms, it's a transformation that doesn't change the lengths of vectors or the angles between them. This property means that orthogonal transformations preserve distances and orientations.
The most common examples of orthogonal transformations in Euclidean space are rotations and reflections. Rotations preserve
Orthogonal transformations are fundamental in many areas of mathematics and physics. In linear algebra, they are