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Mathematics-Online lexicon: Annotation to

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)$.

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  automatisch erstellt am 19.  8. 2013