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Vector spaces of new special magic squares: reflective magic squares, corner magic squares, and skew-regular magic squares - MaRDI portal

Vector spaces of new special magic squares: reflective magic squares, corner magic squares, and skew-regular magic squares (Q1751504)

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scientific article; zbMATH DE number 6873334
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English
Vector spaces of new special magic squares: reflective magic squares, corner magic squares, and skew-regular magic squares
scientific article; zbMATH DE number 6873334

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    Vector spaces of new special magic squares: reflective magic squares, corner magic squares, and skew-regular magic squares (English)
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    25 May 2018
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    Summary: The definition of a regular magic square motivates us to introduce the new special magic squares, which are reflective magic squares, corner magic squares, and skew-regular magic squares. Combining the concepts of magic squares and linear algebra, we consider a magic square as a matrix and find the dimensions of the vector spaces of these magic squares under the standard addition and scalar multiplication of matrices by using the rank-nullity theorem.
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    magic square
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    rank-nullity theorem
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