翻訳と辞書 Words near each other ・ Zero-level elevation ・ Zero-lift drag coefficient ・ Zero-load ・ Zero-marking in English ・ Zero Kelvin (film) ・ Zero Kilometre Stone ・ Zero knowledge ・ Zero Knowledge Systems ・ Zero lag exponential moving average ・ Zero Landmine ・ Zero Latitude Film Festival ・ Zero lift axis ・ Zero liquid discharge ・ Zero lower bound ・ Zero marker ・ Zero matrix ・ Zero Mile ・ Zero mile stone ・ Zero Milestone ・ Zero Minus Ten ・ Zero mode ・ Zero moment point ・ Zero morphism ・ Zero Mostel ・ Zero Motivation ・ Zero Motorcycles ・ Zero Nexus ・ Zero object (algebra) ・ Zero of a function ・ Zero one Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Zero matrix ： ウィキペディア英語版 Zero matrix In mathematics, particularly linear algebra, a zero matrix or null matrix is a matrix with all its entries being zero. Some examples of zero matrices are :$$ 0_ = \begin 0 \end ,\ 0_ = \begin 0 & 0 \\ 0 & 0 \end ,\ 0_ = \begin 0 & 0 & 0 \\ 0 & 0 & 0 \end .\ The set of ''m''×''n'' matrices with entries in a ring K forms a ring $K\_\; \backslash ,$. The zero matrix $0\_\; \backslash ,$ is the matrix with all entries equal to $0\_K\; \backslash ,$, where $0\_K\; \backslash ,$ is the additive identity in K. :$$ 0_ 0_K & 0_K & \cdots & 0_K \\ 0_K & 0_K & \cdots & 0_K \\ \vdots & \vdots & \ddots & \vdots \\ 0_K & 0_K & \cdots & 0_K \end_ The zero matrix is the additive identity in $K\_\; \backslash ,$. That is, for all $A\; \backslash in\; K\_\; \backslash ,$ it satisfies :$0\_\}\; =\; A.$ There is exactly one zero matrix of any given size ''m''×''n'' having entries in a given ring, so when the context is clear one often refers to ''the'' zero matrix. In general the zero element of a ring is unique and typically denoted as 0 without any subscript indicating the parent ring. Hence the examples above represent zero matrices over any ring. The zero matrix represents the linear transformation sending all vectors to the zero vector. ==See also== *Identity matrix, the multiplicative identity for matrices *Matrix of ones, a matrix where all elements are one *Single-entry matrix, a matrix where all but one element is zero 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Zero matrix」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.