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

Mathematics-Online lexicon:

Determinant Rules


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 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)

see also:


[Annotations] [Examples]

  automatically generated 3/15/2005