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 inverse of a unimodular matrix
- The product of two unimodular matrices
Further:
- The Kronecker product of two unimodular matrices is also unimodular. This follows since
- where p and q are the dimensions of A and B, respectively.
Concrete examples include:
- Symplectic matrices
- Pascal matrices
- Permutation matrices
- the three transformation matrices in the ternary tree of primitive Pythagorean triples
Read more about this topic: Unimodular Matrix
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