Let V₁, V₂, V3 be three linearly independent vectors in a vector space V. Is the set { v₁ −2v₂, 2v₂ −3v², 3v₁-v₁} linear
Posted: Wed Jul 06, 2022 11:46 am
Let V₁, V₂, V3 be three linearly independent vectors in a vector space V. Is the set { v₁ −2v₂, 2v₂ −3v², 3v₁-v₁} linearly independent or linearly dependent? Justify your answer.