m-Projections involving Minkowski inverse and range symmetric property in Minkowski space
Mohd Saleem Lone, D. Krishnaswamy
Abstract
Mohd Saleem Lone, D. Krishnaswamy
Abstract
In this paper we study the impact of Minkowski metric matrix on a projection in the Minkowski Space M along with their basic algebraic and geometric properties.The relation between the m-projections and the Minkowski inverse of a matrix A in the minkowski space M is derived. In the remaining portion commutativity of Minkowski inverse in Minkowski Space M is analyzed in terms of m-projections as an analogous development and extension of the results on EP matrices.
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In this paper we study the impact of Minkowski metric matrix on a projection in the Minkowski Space M along with their basic algebraic and geometric properties.The relation between the m-projections and the Minkowski inverse of a matrix A in the minkowski space M is derived. In the remaining portion commutativity of Minkowski inverse in Minkowski Space M is analyzed in terms of m-projections as an analogous development and extension of the results on EP matrices.
Key concepts: Minkowski space, Minkowski's theorem, Mathematics, Inverse, Pure mathematics, Hyperboloid model, Matrix (chemical analysis), Algebraic number