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math.RT2025
Idempotent & Nilpotent Operators and Matrices in Bicomplex Space
Anjali Anjali, Akhil Prakash, Amita Amita +1
This paper explores idempotent and nilpotent operators in bicomplex spaces, focusing on their properties and behavior. We define idempotent and nilpotent matrices in this framework…
math.RA2025
Rank Of bicomplex matrices and system of algebraic equations
Amita Amita, Akhil Prakash, Mamta Amol Wagh +1
In this paper, we study the rank of matrices of bicomplex numbers. The relationship between rank, idempotent column rank and idempotent row rank is examined. Then, the solution of…
math.RT2025
A New Perspective on Eigenvalues and Eigenvectors of Bicomplex Linear Operators
Anjali Anjali, Akhil Prakash, Amita +1
This paper deals with eigenvalues and eigenvectors of bicomplex linear operators defined on bicomplex space. We investigate the properties of these operators in the context of eige…