Defective matrix
From Encyclopedia of Mathematics
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=33752
Defective matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Defective_matrix&oldid=33752
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article