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arXiv · 1205.3673

Special bases for the vector space of square matrices

Edinah K. Gnang
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Abstract

We describe families of complete orthogonal bases of full rank matrices which span the vector spaces of square matrices. The proposed bases generalise non-trivially the Pauli matrice while shedding light on their algebraic properties. Finally we introduce the notion k -pseudo-closure for orthogonal bases spanning vector subspaces of square matrices and discuss their connections with hadamard matrices.

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Edinah K. Gnang. 2012-05-12. Special bases for the vector space of square matrices. https://arxiv.org/abs/1205.3673

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