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Mathematics-Online course: Linear Algebra - Matrices - Determinants

Determinant Rules

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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)

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  automatically generated 4/21/2005