General independence

Task number: 2519

Let \(u,v,w\) be linear independent vectors in a vector space\(V\) over the field \(\mathbb R\). Decide, whether the following sets of vectors are linearly independent or not.

  • Variant 1


  • Variant 2


  • Variant 3


  • Variant 4


  • Variant 5


  • Variant 6


  • Variant 7


  • Variant 8


Difficulty level: Easy task (using definitions and simple reasoning)
Proving or derivation task
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