If(adsbygoogle = window.adsbygoogle || []).push({}); u,vandware three linearly independent vectors of some vectorial space V, show thatu+v,u-vandu-2v+ware also linearly independent.

Okay, first of all, i know that:

[tex]\lambda_{1} \times u + \lambda_{2} \times v + \lambda_{3} \times w = (0,0,0)[/tex]

admits only the solution that all lambdas = 0, but how can I proove that they are linearly independent, knowing so little?

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# Homework Help: Linear Algebra linear independence

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