10 ENGLISH BOOKS RELATING TO «DIAGONALISABLE»
Discover the use of
diagonalisable in the following bibliographical selection. Books relating to
diagonalisable and brief extracts from same to provide context of its use in English literature.
1
Linear Algebra: Volume 2: An Introduction with Concurrent ...
The existence of such a list of eigenvectors is a necessary condition for the matrix
to be diagonalisable (but we shall not prove this). Consequently, the non-
existence of such a list of eigenvectors demonstrates that a matrix is not
diagonalisable ...
2
Basic Applied Mathematics For The Physical Sciences
(a) Not diagonalisable (b) Diagonalisable, P = (c) Not diagonalisable (d)
Diagonalisable P = 1 -1 -1 •1 10 1 0 1 , D = 1 0 0 0-2 0 |_0 0 -2J 8. A i i i 4 2 + V3
2 - V3 |_6 7 + 4V3 7 - 4V3 J ,D = k 0. A is not diagonalizable 9. (a) Diagonalisable
(b) ...
3
Basic Applied Mathemetics for the Physical Sciences
Strictly decreasing 17. Strictly decreasing 21. Strictly increasing 25. Answers to
Exercises. 1 -1 -1" -1 1 0 ,D = 1 0 1. 1 0 0" 0 -2 0 0 0 -2. 8. A = 0: * 0 , k * 0. A 9. (a)
Diagonalisable 1 (b) Diagonalisable (c) Not diagonalisable 10. Diagonalisable ...
4
Vectors, Pure and Applied: A General Introduction to Linear ...
E 6.4 Linear maps from (C2 to itself Theorem 6.3.3 gives a sufficient but not a
necessary condition for a linear map to be diagonalisable. The identity map L : IF"
—> IF" has only one eigenvalue but has the diagonal matrix I with respect to any
...
5
Basic Applied Mathematics for the Physical Sciences: Based ...
R. D. Sarma. 7. (a) Not diagonalisable l —l —-1 l 0 0, (b) Diagonalisable, P = —l l
0 , D = 0 —2 0 l 0 1 0 0 -2 (c) Not diagonalisable 1 1 1 4 0 0 (d)DiagonalisableP=
4 2+\/3 2-\/3 ,1)= 0 2+\/3 0 6 7 + 4\/3 7 - 4\/3 0 0 2 - \/3 8. A = 0: k[(l)], k ¢ 0.
6
Eigenvalues of Matrices: Revised Edition
1.6.1 Diagonalisable Matrices The matrix A is diagonalisable if and only if it is
similar to a diagonal matrix. Let D = diag(a1,...,a,,) be the diagonal matrix
consisting of the eigenvalues of A. Theorem 1.6.1 The matrix A is diagonalisable
if and ...
7
Mathematics for Economists: An Introductory Textbook
This result generalises: given a square matrix A which is not diagonalisable, we
can always find a d-matrix whose entries are arbitrarily close to those of A.
Actually we can go further, and say that "almost all square matrices are ...
Malcolm Pemberton, Nicholas Rau, 2001
8
Representations of Algebraic Groups
One may check that (8) c* = t o (A ® id) o A where t(fl <g> /2 ® /3) = /i<r(/3) ® /2-
2.5. (Diagonalisable Groups) Let A be a commutative group (written multi-
plicatively) ; identify A with the standard basis of the group algebra fc[A]. We
make KIA] ...
Jens Carsten Jantzen, 2007
9
Krylov Subspace Methods: Principles and Analysis
In [420, Corollary 2.5] it is shown that for a given matrix A there exists an HPD
matrix B such that A× is a rational function in A if and only if A is diagonalisable.
Moreover, it is shown that forAdiagonalisable the HPD matricesBfor whichA× is a
...
Jörg Liesen, Zdenek Strakos, 2012
10
Engineering Mathematics: Volume II
If G.M. and A.M. of an eigenvalue in respect of a square matrix A are equal then
we can find n linearly independent eigenvectors and hence A is diagonalisable.
Example 2.10 Prove that A "l f = i 0 1J is not diagonalisable. Solution The ...
