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MimiKal797 (talk | contribs) Added further explanation which I think is central to the topic but only comes up deep in the definition section. |
MimiKal797 (talk | contribs) →Properties: changed [adjugates] "enjoy" to "have", to avoid unnecessary personification of adjugates |
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== Properties ==
For any {{math|''n'' × ''n''}} matrix {{math|'''A'''}}, elementary computations show that adjugates
* <math>\operatorname{adj}(\mathbf{0}) = \mathbf{0}</math> and <math>\operatorname{adj}(\mathbf{I}) = \mathbf{I}</math>, where <math>\mathbf{0}</math> and <math>\mathbf{I}</math> are the [[zero matrix|zero]] and [[identity matrices]], respectively.
* <math>\operatorname{adj}(c \mathbf{A}) = c^{n - 1}\operatorname{adj}(\mathbf{A})</math> for any scalar {{mvar|c}}.
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