I have attached the properties/rules that will aid in simplifying the 3 x 3 determinant so that it can be calculated with minimum effort. I am trying to understand rule (2) and (4). I am not so clear about the idea of linearity. Can anyone please explain these two rules with regards to example 4.6.6 in the attachment?(adsbygoogle = window.adsbygoogle || []).push({});

Danke..

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# Applying rules to simplify a 3 x 3 determinant

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