Difference between revisions of "Defective matrix"
From Encyclopedia of Mathematics
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| + | A [[Matrix|matrix]] $A\in\mathbf C^{n\times n}$ is called non-defective if it has a set of $n$ independent eigenvectors (cf. [[Eigen vector|Eigen vector]]). Otherwise it is called defective. The notion is of particular importance in numerical [[Linear-algebra(2)|linear algebra]]. | ||
====References==== | ====References==== | ||
<table><TR><TD valign="top">[a1]</TD> <TD valign="top"> D.M. Young, R.T. Gregory, "A survey of numerical mathematics" , '''2''' , Dover, reprint (1988) pp. 741–743</TD></TR></table> | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> D.M. Young, R.T. Gregory, "A survey of numerical mathematics" , '''2''' , Dover, reprint (1988) pp. 741–743</TD></TR></table> | ||
Revision as of 20:13, 17 October 2014
A matrix $A\in\mathbf C^{n\times n}$ is called non-defective if it has a set of $n$ independent eigenvectors (cf. Eigen vector). Otherwise it is called defective. The notion is of particular importance in numerical linear algebra.
References
| [a1] | D.M. Young, R.T. Gregory, "A survey of numerical mathematics" , 2 , Dover, reprint (1988) pp. 741–743 |
How to Cite This Entry:
Defective matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Defective_matrix&oldid=13784
Defective matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Defective_matrix&oldid=13784
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article