Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

Mathematics-Online course: Linear Algebra - Matrices - Determinants

Determinant Rules


[previous page] [next page] [table of contents][page overview]

For $ n\times n$-matrices $ A$ and $ B$ the following holds true:

(i)
$ \operatorname{det} A =
\operatorname{det} A^{\operatorname t}$,
(ii)
$ \operatorname{det}A = 0 \Leftrightarrow A$ is not invertible,
(iii)
$ \operatorname{det}(AB) =
(\operatorname{det}A)(\operatorname{det}B)$.
(Authors: Burkhardt/Höllig/Hörner)

(temporary unavailable)

  automatically generated 4/21/2005