Namespaces
Variants
Actions

Difference between revisions of "Diagonal matrix"

From Encyclopedia of Mathematics
Jump to: navigation, search
(Category:Special matrices)
(See also: Defective matrix)
Line 11: Line 11:
 
where the $a_i$ are elements of $K$.
 
where the $a_i$ are elements of $K$.
  
 +
See also: [[Defective matrix]].
  
 
[[Category:Special matrices]]
 
[[Category:Special matrices]]

Revision as of 20:42, 17 October 2014

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

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

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

See also: Defective matrix.

How to Cite This Entry:
Diagonal matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Diagonal_matrix&oldid=33751
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article