Visualization for Petrov's odd unitary group.

In this article, we define a set of matrices analogous to Vaserstein-type matrices, which were introduced in the paper 'Serre's problem on projective modules over polynomial rings and algebraic K-theory' by Suslin–Vaserstein in 1976. We prove that these are elementary linear matrices. Also, under some conditions, these matrices belong to Petrov's odd unitary group, which is a generalization of all classical groups. We also prove that these matrices generate the Petrov's odd elementary hyperbolic unitary group when the ring is commutative. [ABSTRACT FROM AUTHOR]