Let V₁, V₂, V3 be three linearly independent vectors in a vector space V. Is the set { v₁ −2v₂, 2v₂ −3v², 3v₁-v₁} linear

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answerhappygod
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Let V₁, V₂, V3 be three linearly independent vectors in a vector space V. Is the set { v₁ −2v₂, 2v₂ −3v², 3v₁-v₁} linear

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Let V V V3 Be Three Linearly Independent Vectors In A Vector Space V Is The Set V 2v 2v 3v 3v V Linear 1
Let V V V3 Be Three Linearly Independent Vectors In A Vector Space V Is The Set V 2v 2v 3v 3v V Linear 1 (18.57 KiB) Viewed 21 times
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.
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