### On the semiscalar equivalence of 3-by-3 matrices with all different characteristic roots

#### Speaker

### BOGDAN SHAVAROVSKII

Department of Algebra,

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine

#### When & where:

**October 15, 2019 at 15 ^{00 }**in Lecture Room 377

#### Abstract of talk

Some invariants of 3-by-3 polynomial matrices with all different characteristic roots are found. In some cases, the conditions of semiscalar equivalence of such matrices are specified and canonical forms are constructed.

**Bogdan Shavarovskii**

October 15, 2019