Mathematics-Online lexicon: Determinant Rules

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	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

For $n\times n$ -matrices and 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:

automatically generated 3/15/2005