Editing Unimodular matrix (section)

==Examples of unimodular matrices==
Unimodular matrices form a [[subgroup]] of the [[general linear group]] under [[matrix multiplication]], i.e. the following matrices are unimodular:
* [[Identity matrix]]
* The [[Matrix inverse|inverse]] of a unimodular matrix
* The [[Matrix multiplication|product]] of two unimodular matrices

Other examples include:
* [[Pascal matrix|Pascal matrices]]
* [[Permutation matrix|Permutation matrices]]
* the three transformation matrices in the ternary [[tree of primitive Pythagorean triples]]
* Certain transformation matrices for [[Rotation matrix|rotation]], [[Shear mapping|shearing]] (both with determinant 1) and [[Reflection matrix|reflection]] (determinant −1).
* The unimodular matrix used (possibly implicitly) in [[lattice reduction]] and in the [[Hermite normal form]] of matrices.
* The [[Kronecker product]] of two unimodular matrices is also unimodular. This follows since <math> \det(A \otimes B) = (\det A)^q (\det B)^p, </math> where ''p'' and ''q'' are the dimensions of ''A'' and ''B'', respectively.