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arXiv · 2312.00361

Matrix representations of linear transformations on bicomplex space

Anjali·Fahed Zulfeqarr·Akhil Prakash·Prabhat Kumar
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Abstract

An algebraic investigation on bicomplex numbers is carried out here. Particularly matrices and linear maps defined on them are discussed. A new kind of cartesian product, referred to as an idempotent product, is introduced and studied. The elements of this space are linear maps of a special form. These linear maps are examined with respect to usual notions like kernel, range, and singularity. Their matrix representation is also discussed.

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Anjali, Fahed Zulfeqarr, Akhil Prakash, Prabhat Kumar. 2023-12-01. Matrix representations of linear transformations on bicomplex space. https://arxiv.org/abs/2312.00361

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