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Diagonal matrix

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2010 Mathematics Subject Classification: Primary: 15B [MSN][ZBL]

quasi-scalar matrix

A square matrix in which all entries — with the possible exception of the elements on the main diagonal — are zero.


Comments

I.e. an $(n\times n)$ diagonal matrix over a field $K$ has the form

$$\begin{pmatrix}a_1&0&\dots&0\\0&a_2&\dots&0\\\dots&\dots&\dots&\dots\\0&\dots&\dots&a_n\end{pmatrix},$$

where the $a_i$ are elements of $K$.

See also: Defective matrix.


References

How to Cite This Entry:
Diagonal matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Diagonal_matrix&oldid=44574
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article