On Generating Various Canonical Forms of Linear Operators

This dissertation, titled “On Generating Various Canonical Forms of Linear Operators”, was submitted in partial fulfillment of the M.Sc. degree in Mathematics at Bankura University in 2023. The work explores methods to simplify the matrix representation of linear operators on finite-dimensional vector spaces by identifying their canonical forms. It builds on concepts from linear algebra and leverages module theory to establish systematic approaches to such representations. The dissertation was completed under the supervision of Dr. Pavel Pal.