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Single-entry matrix
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Single-entry matrix : ウィキペディア英語版
Single-entry matrix

In mathematics a single-entry matrix is a matrix where a single element is one and the rest of the elements are zero, e.g.,
:\mathbf^ = \left(& 0 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0 \end\right ).
It is a specific type of a sparse matrix.
The single-entry matrix can be regarded a row-selector when it is multiplied on the left side of the matrix, e.g.:
:
\mathbf^\mathbf = \left(\begin 0 & 0& 0 \\ a_ & a_ & a_ \\ 0 & 0 & 0 \end\right )

Alternatively, a column-selector when multiplied on the right side:
:
\mathbf\mathbf^ = \left(\begin 0 & 0 & a_ \\ 0 & 0 & a_ \\ 0 & 0 & a_ \end\right )

The name, single-entry matrix, is not common, but seen in a few works.〔Examples:
*
* 〕
==References==



抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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