Titlebook: Advanced Linear Algebra; Steven Roman Textbook 20052nd edition Springer-Verlag New York 2005 Eigenvalue.Eigenvector.Finite.Morphism.algebr

名义上

Thomas Harrison,Zhaonian Zhang,Richard JiangLet us begin with the definition of one of our principal objects of study.

流浪者

Ankita Bansal,Roopal Jain,Kanika ModiLoosely speaking, a linear transformation is a function from one vector space to another that . the vector space operations. Let us be more precise.

一大群

https://doi.org/10.1007/978-1-4842-2175-4Let . be a subspace of a vector space .. It is easy to see that the binary relation on . defined by . is an equivalence relation. When . ≡ ., we say that . and . are . .. The term . is used as a colloquialism for modulo and . ≡ . is often written . When the subspace in question is clear, we will simply write . ≡ ..

Deference

IRATE

drusen

https://doi.org/10.1007/978-1-4842-2175-4We remind the reader of a few of the basic properties of principal ideal domains.

羽毛长成

EXUDE

字谜游戏

https://doi.org/10.1007/978-3-030-17312-8We now turn to a discussion of real and complex vector spaces that have an additional function defined on them, called an ., as described in the upcoming definition. Thus, in this chapter, . will denote either the real or complex field. If . is a complex number then the complex conjugate of . is denoted by ..

saphenous-vein

Juan Li,Miaoyi Li,Anrong Dang,Zhongwei SongThroughout this chapter, all vector spaces are assumed to be finite-dimensional unless otherwise noted.