- In
linear algebra, a
square matrix A {\displaystyle A} is
called diagonalizable or non-defective if it is
similar to a
diagonal matrix. That is, if there...
-
which are
simpler to understand. Specifically, one part is
potentially diagonalisable and the
other is nilpotent. The two
parts are
polynomials in the operator...
-
intersection form of a compact, oriented,
smooth manifold of
dimension 4 is
diagonalisable. If the
intersection form is
positive (negative) definite, it can be...
- and only if cov ( X ) {\displaystyle \operatorname {cov} (X)} were
diagonalisable by P {\displaystyle P} . This is very constructive, as cov(X) is guaranteed...
- 1-torus T1{\displaystyle \mathbf {T} ^{1}},
which explains the
picture of
diagonalisable algebraic groups as tori. Any real
torus is
isogenous to a
finite sum...
- \operatorname {Hom} (H,H)} a
commutative set of operators, each of
which is
diagonalisable; then the
operators can be
simultaneously diagonalized.
Proof Case I:...
- "Relative
Perturbation Results for
Eigenvalues and
Eigenvectors of
Diagonalisable Matrices", BIT, 38 (3): 502–9, doi:10.1007/bf02510256, S2CID 119886389...
-
invariant up to isomorphism,
showing that any such
smooth manifold has
diagonalisable intersection form. The
moduli space of ASD
instantons may be used to...
- such a four-manifold is
diagonalisable.
There are
examples of
simply connected topological four-manifolds with non-
diagonalisable intersection form, such...
-
necessarily an
algebraic torus). If the
matrix M{\displaystyle M} is
diagonalisable, then it is
regular if and only if
there are n{\displaystyle n} different...
