Linear Map of Matrices

• Autorzy: Karol Pąk
• Języki publikacji: EN

Abstrakty

EN

The paper is concerned with a generalization of concepts introduced in [13], i.e. introduced are matrices of linear transformations over a finitedimensional vector space. Introduced are linear transformations over a finitedimensional vector space depending on a given matrix of the transformation. Finally, I prove that the rank of linear transformations over a finite-dimensional vector space is the same as the rank of the matrix of that transformation.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2008
• Tom: 16
• Numer: 3
• Strony: 269-275

Daty

wydano

2008-01-01

online

2009-03-20

Twórcy

autor

Karol Pąk

• Institute of Computer Science, University of Białystok, Poland

Bibliografia

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• [26] Xiaopeng Yue, Xiquan Liang, and Zhongpin Sun. Some properties of some special matrices. Formalized Mathematics, 13(4):541-547, 2005.
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• [28] Katarzyna Zawadzka. The product and the determinant of matrices with entries in a field. Formalized Mathematics, 4(1):1-8, 1993.
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Identyfikatory

DOI

10.2478/v10037-008-0032-0