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• W2024294169 abstract "The objective of this paper is to express a matrix of any dimension in unit vector notation. This is accomplished by first solving the two and three dimensional cases before solving the general n-dimensional case. The fact that matrices can be represented as a (non-linear) combination of standard basis unit vectors shows that matrices are not simply abstract entities used just for representing data, but also have a geometric interpretation. This paper then defines the natural product and explains its applications in matrix calculus, before relating it to the outer product of real vectors, a special case of the tensor product. We then conclude that the space is the intersection of the exterior space and the newly defined textit{natural space}." @default.
• W2024294169 created "2016-06-24" @default.
• W2024294169 creator A5051766809 @default.
• W2024294169 date "2012-07-20" @default.
• W2024294169 modified "2023-09-24" @default.
• W2024294169 title "The Representation of Matrices in Unit Vector Notation" @default.
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• W2024294169 doi "https://doi.org/10.5539/jmr.v4n4p86" @default.
• W2024294169 hasPublicationYear "2012" @default.
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