Linear Map of Matrices

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Linear Map of Matrices

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 ...

متن کامل

A brief introduction to quaternion matrices and linear algebra and on bounded groups of quaternion matrices

The division algebra of real quaternions, as the only noncommutative normed division real algebra up to isomorphism of normed algebras, is of great importance. In this note, first we present a brief introduction to quaternion matrices and quaternion linear algebra. This, among other things, will help us present the counterpart of a theorem of Herman Auerbach in the setting of quaternions. More ...

متن کامل

Linear maps preserving or strongly preserving majorization on matrices

For $A,Bin M_{nm},$ we say that $A$ is left matrix majorized (resp. left matrix submajorized) by $B$ and write $Aprec_{ell}B$ (resp. $Aprec_{ell s}B$), if $A=RB$ for some $ntimes n$ row stochastic (resp. row substochastic) matrix $R.$ Moreover, we define the relation $sim_{ell s} $ on $M_{nm}$ as follows: $Asim_{ell s} B$ if $Aprec_{ell s} Bprec_{ell s} A.$ This paper characterizes all linear p...

متن کامل

Linear Algebra & Matrices

5 Applications of Linear Algebra 24 5.1 The Cayley-Hamilton Theorem . . . . . . . . . . . . . . . . . . . 24 5.2 Solving State Equations . . . . . . . . . . . . . . . . . . . . . . . 24 5.3 Matrix Decompositions . . . . . . . . . . . . . . . . . . . . . . . 29 5.4 Bilinear Forms and Sign-definite Matrices . . . . . . . . . . . . . 32 5.4.1 Definite Matrices . . . . . . . . . . . . . . . . . . ....

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Formalized Mathematics

سال: 2008

ISSN: 1898-9934,1426-2630

DOI: 10.2478/v10037-008-0032-0