Independence in arithmetic vector spaces

Task number: 2520

Decide, whether the following set of vectors is independent in the arithmetic vector spaces \(\mathbb R^4, \mathbb Z_3^4\) and \(\mathbb Z_5^4\).

If not, find an expression of some vector as a linear combination of the others.

  • Variant 1


  • Variant 2


  • Variant 3


Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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