ON THE EIGENSTRUCTURES OF BICOMPLEX K-POTENT MATRICES

In this paper we have studied Bicomplex k-Potent matrices satisfies the equation , where , is a positive integer, are real numbers. This class of Bicomplex matrices includes Idempotent, Involutory, Nilpotent, Periodic, Skew-periodic, Generalized Involutory, Generalized Skew-Involutory and many more. We have investigated the Eigenstructure of Bicomplex k-Potent matrices and their diagonalizability. Keywords: Bicomplex Matrix, Idempotent Matrix, Nilpotent Matrix, Involutory Matrix, Periodic Matrix, Skew-Periodic Matrix, Unipotent Matrix, Eigenvalue, Diagonalizable Matrix. AMS Subject Classification: 30G35, 32A30, 15A18.