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Linear Transformations on Matrices: Rank 1 Preservers and Determinant Preservers.

机译：矩阵的线性变换：秩1保持器和行列式保持器。

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摘要

A theorem of Marcus and Moyls on linear transformations on matrices preserving rank 1 and a classical result of Frobenius on determinant preservers are re-proved by elementary matrix methods. (Author)

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作者
Minc, H.;
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作者单位

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年度 1975
页码 1-9
总页数 9
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Matrices(Mathematics); Linear algebra; Transformations(Mathematics); Invariance; Determinants(Mathematics); Rank order statistics; Reprints;

机译：矩阵（数学）;线性代数;变换（数学）;不变性;行列式（数学）;秩序统计;重印;

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1. Linear preservers of rank-sum-maximum, rank, rank-subtractivity, and rank-sum-minimum on symmetric matrices [J] . Zhang X Linear & Multilinear Algebra: An International Journal Publishing Articles, Reviews and Problems . 2005,第3期

机译：对称矩阵上秩和最大值，秩，秩减性和秩和最小值的线性守恒
2. QUADRATIC TRANSFORMATIONS ON MATRICES - RANK PRESERVERS [J] . Watkins W. Journal of Algebra . 1996,第2期

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3. Linear rank preservers of tensor products of rank one matrices [J] . Huang Zejun, Shi Shiyu, Sze Nung-Sing Linear Algebra and its Applications . 2016,第Null期

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4. Constructing linear transformations of MPKC By generalized central symmetric matrices [C] . International Conference on Anti-Counterfeiting, Security, and Identification in Communication . 2009

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5. Order intervals of matrices and linear transformations. [D] . Thornburg, Mark Leon. 1997

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6. Tans Epsilon-Determinant and Ranks of Matrices over Semirings [O] . Preeti Mohindru, Rajesh Pereira 2015

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7. Bilinear transformations on matrices: Rank preservers [O] . Watkins William 1997

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8. Extremal Properties of Hermitian Matrices II(and) Linear Transformations on Algebras of Matrices [R] . Marvin Marcus, B. N. Moyls 1958

机译：Hermitian矩阵的极值性质II（和）矩阵代数上的线性变换

Linear Transformations on Matrices: Rank 1 Preservers and Determinant Preservers.

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